https://edu.gtk.bme.hu/local/tad/tad.php?id=1109&lang=en

https://portal.vik.bme.hu/kepzes/targyak/VIHIAV39/en/
The basic objective of "Administrating Computer Networks I." is to introduce the practical administration of computer networks - including network design, installation, and configuration of network devices. This subject gives the basics of "Administration Computer Networks in Practice II." (VIHIAV42) subject, thus providing adequate theoretical and practical knowledge and the way of its direct application. The students who successfully complete also the subject "Administrating Computer Networks II" acquire the knowledge and skills required for the Cisco CCNA (Cisco Certified Network Associate) certification. The certification can be obtained in authorized examination centers, independently from the University education.

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEMINWAC 

https://portal.vik.bme.hu/kepzes/targyak/VIHIMA16/en/

The aim of the course is to acquaint students with the methods of acoustic measurement and simulation, with special emphasis on laying the basics of aeroacoustics, aeroacoustic simulation methods, and the foundations of modern aeroacoustic measurement methods. Students will learn the theory and characteristics of each simulation and measurement method, as well as the basics of evaluating the results achieved. The modern methods presented are common methods in research and development that can be encountered in engineering practice.

The aim of the course is to acquaint students with the concepts of thermodynamics beyond the introductory level, the analytical and numerical calculation methods of thermodynamics, the levels of thermodynamic modeling, the relationship between entropy and asymptotic stability, the description of thermodynamic phases, the process-centric approach, the connection points between mechanics and thermodynamics, and generally useful skills regarding modeling, identifying distinguished scales, and analytical and computer calculations. 
https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEENUVHT

The aim of the course is to provide theoretical background and practical knowledge in air pollution control, wastewater treatment, and solid wastes management for mechanical engineers. Theoretical background, measurement principles, application areas, advantages and limitations of various environmental protection techniques applied in industrial practice are covered by the lectures. Main topics: physical, chemical and biological methods of separation, recovery and deformation of both gaseous, solid and liquid phase pollutants; typical tasks of wastewater treatment methods & technologies, basic processes and engineering equipment of the technology; characteristics of solid wastes, collection and treatment, theoretical basics of burning solid wastes, solid waste disposal and recycling. This course helps to recognize & evaluate the environmental protection problems and to solve the most typical engineering problems.

Market of air transport. Strategy. Marketing. Controlling. Charges. Airlines and airports.

Groups, semigroups. Basic properties of groups, group homomorphism, subgroups, cosets. Langrange's Theorem. Examples: diherdral groups, quaternion group, symmetric groups, alternating groups. Decomposition of permutations into disjoint cycles, transpositions. Permutation groups, group actions, transitivity, Cayley's Theorem. Cyclic groups, order of a group element. Cauchy's Theorem. Direct product of groups. Normal subgroups, factor group, Homomorphism Theorem, Noether's Isomorphism Theorems. Important subgroups: derived subgroup, centre, class equation. Subgroup chains, Sylow's Theorems, description of the structure of groups of small size. Nilpotent groups. Fundamental Theorem of Finite Abelian Groups. Free groups. Free algebras over rings, ideals, maximal and prime ideals. Description of the polynomial ring R[x]. Principal ideal domains. Noether rings, unique factorization domains (UFD). Factor rings, field extensions, construction of finite fields. Modules over rings, submodules, module homomorphisms. Semisimple modules and rings. The structure of matrix algebras over division rings. Vector space and module constructions: factor module, direct product, direct sum, tensor product. Linear fuction and the dual space.
– P.J. Cameron: Introduction to Algebra, Oxford Science Publications, 1998.– Atiyah-Macdonald: Introduction to commutative algebra, online textbook

Field extensions, construction and uniqueness of simple algebraic extensions, finite and algebraic extensions. Normal extensions, splitting field, separable extension, finite fields, Wedderburn's theorem, Galois group, irreducibility of the cyclotomic polynomials, Galois groups of radical extensions, Galois correspondence, Fundamental theorem of Galois theory. Applications of Galois theory: Fundamental theorem of algebra, ruler and compass constructions, solvability of equations by radicals, Abel–Ruffini theorem. Existence and uniqueness of algebraic closure, transcendental extensions, transcendence of e, Gelfand-Schneider theorem. - Review of the basic concepts of number theory, Euler ? function. Linear congruences and systems of congruences, binomial congruences of higher degree, discrete logarithm, congruences of prime power moduli. Quadratic congruences, Legendre and Jacobi symbol, quadratic reciprocity. Prime numbers: Euclid's theorem, gaps between primes, Chebyshev's theorem, harmonic series of primes, Dirichlet's theorem for (nk + 1). Arithmetic functions: d(n), ?(n), ?(n). Multiplicativity, convolution, Möbius function, the Möbius inversion formula. Prime number theorem, magnitude of the nth prime, prime tests, Rabin–Miller test, RSA function. Diophantine equations: linear diophantine equations, Pythagorean triples, Fermat's two squares theorem, Gaussian integers.
– I. Stewart: Galois Theory, CRC Press, 2003– Niven, Zuckerman, Montgomery: An Introduction to the Theory of Numbers, John Wiley & Sons, 1960– M.B. Nathanson: Elementary Methods in Number Theory, Springer, 2000

The aim of the course is to examine teaching and learning by learning about and analyzing the different problem situations in different societies. During the semester, four film works will be presented, which, after admission, must be interpreted and analyzed on the basis of specified criteria. The aim of the study is to explore the life situations of students and teachers living in different cultures, to get to know the situation and actors of education, and to compare social realities. Cinematic productions can be changed every six months according to the objectives. 

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEHDBSKMGAE-01

To provide thorough understanding of the fundamental principles, main methods and applications of chemical analysis (volumetric, gravimetric and instrumental analysis), as well as their tools of trade. The subject aims to provide a sound bases for later subjects including the Analytical Chemistry Laboratory and other advanced analytical chemistry subjects within Analytical and Structural Chemistry Specialization.
INTRODUCTION
Hours
Fundamental concepts.
2
Example 1: determination of iron in beer, AAS. Standard addition.
1
Example 2: determination of aluminium in cement, AAS. Matrix effect, calibration.
1
Example 3: Ethanol content of blood, measurement by HS-GC. Internal standard method.
1
Example 4: Analysis of hydrocarbon mixtures (engine fuel) by GC
1
Reliability of analysis. Systematic and random errors. Accuracy and precision; limit of detection, limit of quantitation; range
1
VOLUMETRIC ANALYSIS AND GRAVIMETRY
Acid-base titrations. Volumetric analysis of strong acids and bases. Logarithmic equilibrium diagrams, titration curves. Indicator error.
1
Titration of weak acids and weak bases. Logarithmic equilibrium diagram, titration curves. Calculation of the pH of the equivalence point. Buffers. Indicators.
2
Polyprotic acids and bases. Analysis of carbonate- hydrogen carbonate mixtures. Acid-base titrations in non-aqueous media.
2
Complexometric reactions and titrations. Formation constants. Chelates. EDTA titrations. Indicators
2
Precipitation reactions. Precipitation titrations. Gravimetry..
2
Redox reactions and titrations: iodometry, bromatometry, permanganometry, titration curves and their interpretation
2
ELECTROANALYSIS
Introduction. Electrochemical cells. Overview of electroanalytical methods
1
Potentiometry. Galvanic cells. Activity. Reference electrodes.Liquid junction potentials
2
Potentiometry. Indicator electrodes. Redox electrodes. Nernst equation. Redox titrations with potentiometric endpoint detection
1
Ion-selective electrodes. Solid membrane electrodes: Glass electrode. Fluoride-selective electrodes. Precipitate-based electrodes.
2
Ion-selective electrodes. Liquid membrane electrodes. Selectivity. Direct potentiometry. Calibration. Standard addition
1
Conductometry. Introduction. Conductometric cells
1
Conductometric titrations
1
OPTICAL SPECTROSCOPY
Introduction. Properties of light. Spectrophotometers. Spectrum
2
Atomic spectroscopy. Theory of atomic spectroscopy. Introduction to analytical applications of atomic spectroscopy. Concept and benefits. Introduction to Atomic Absorption/Emission/Fluorescence Spectroscopy. Atomization. Thermal processes in atom sources. Boltzmann distribution
2
Atomic spectroscopy. Atomic absorption spectroscopy (AAS) with flame and electrothermal atomization. Instrumentation.
2
Atomic spectroscopy methods. Flame optical emission spectrometry, flame photometry (F-OES). Inductively coupled plasma optical emission spectrometry (ICP-OES).. Inductively coupled plasma mass spectrometry (ICP-MS)
2
Molecular Spectroscopy. Basics of ultraviolet (UV) and Visible (VIS) Absorption Spectroscopy. Spectrophotometers. Lambert-Beer law, deviations from Lambert-Beer Law
2
MASS SPECTROMETRY
Introduction to mass spectrometry. Main units of mass spectrometers
2
SEPARATION METHODS
Introduction to separation methods. Categorization of separation methods. Chromatography
2
Basics of chromatographic separations. Chromatogram. Parameters characterising the separation efficiency Partition coefficient. Retention time. Number of theoretical plates.Zone broadening. Resolution
2
Gas Chromatography. Introduction. Columns. Capillary columns. Stationary phases. Injectors
2
Main parts of a gas chromatograph. Detectors
1
Quantitative analysis with gas chromatography. Calibration. Internal standard method. Temperature gradient method. Applications
1
Liquid chromatography. Classification and overview of liquid chromatography methods. Eluent strength
2
Main parts of HPLC systems. Pump. Injector. Columns. Detector
1
Electrophoresis. Principles. Instrumentation. Applications
2
IMMUNOANALYSIS
Basic concepts. Structure of antibodies. Antigen- antibody reactions
1
Analytical measurements based on antigen-antibody reactions. Classification and principle of label-based methods. Quantitative analysis by immunoassays
1

This course aims to expand the existing CAD knowledge of students to be able to create and modify complex CAD models easily. During the course, we use Archicad, so a basic knowledge of the program is expected.

Different departments of the Faculty of Architecture offer the same course titled Architectural Research for Exchange Students. However, the specific research topic varies according to each department’s area of expertise. Please apply to only one of these courses, based on your research interests.If you register it in the Fall semester, you can also register it in the Spring semester, but at a different department.
Please note: this course can only be taken once per semester.
Architectural Research for Exchange Students on the topics of the Department's competency. The aim of the subject is to carry out a research on a special topic. The research contains specifying and processing the related international literature, summing up the findings in a study and finally a presentation. The language of the research depends on the consultant - the available topics are listed on the department's homepage.

Different departments of the Faculty of Architecture offer the same course titled Architectural Research for Exchange Students. However, the specific research topic varies according to each department’s area of expertise. Please apply to only one of these courses, based on your research interests.If you register it in the Fall semester, you can also register it in the Spring semester, but at a different department.
Please note: this course can only be taken once per semester.
Architectural Research for Exchange Students on the topics of construction technology and management. The aim of the subject is to carry out a research on a special topic. The research contains specifying and processing the related international literature, summing up the findings in a study and finally a presentation. The language of the research depends on the consultant - the available topics are listed on the department's homepage.

Different departments of the Faculty of Architecture offer the same course titled Architectural Research for Exchange Students. However, the specific research topic varies according to each department’s area of expertise. Please apply to only one of these courses, based on your research interests.If you register it in the Fall semester, you can also register it in the Spring semester, but at a different department.
Please note: this course can only be taken once per semester.
Thestudents choose from the topics offered by the Department of History of Architecture and Monument Preservation and conduct research independently or in small groups. They are introduced to the basic methods of research in architectural history, architectural theory, and monument preservation, such as research in the specialist literature, archives, design and map archives, research techniques, etc., and apply them in practice. The range of possible topics is determined by the department and the personal interests of the students. In addition to architectural issues, students and their consultants also deal with interdisciplinary topics and issues relevant in an international context, reflecting the openness and inclusive-synthesizing nature of the course and the program. As part of the course, students work independently, with the help of consultation, to process a set of issues, summarize them in the form of a study, and present them at a final conference, all in English. The fundamental goal is to develop the given topic based on the university"s educational principles and the synergy between student motivation and lecturer competence.
General information and previous research topics are listed in the Moodle:
https://edu.epitesz.bme.hu/course/view.php?id=1435

Different departments of the Faculty of Architecture offer the same course titled Architectural Research for Exchange Students. However, the specific research topic varies according to each department’s area of expertise. Please apply to only one of these courses, based on your research interests.If you register it in the Fall semester, you can also register it in the Spring semester, but at a different department. Please note: this course can only be taken once per term. Similar to the international practice aims the course primary research activity on architecture and its documentation. The possible horizon of the research topics is determined by the course lists of the departments and the personal interest of the students. Beside the architectural topics will give the course an appreciation of interdisciplinary and special fields in international environment too. The project work demonstrating generic and specific skills and understanding of the open and synthetic character of the research. The objective of this course is to hone the skills of analysis and abstraction in order to develop a framework for research. The student should be able to draw from precedent in both art, architecture and engineering in the development of this framework, which will act as scaffolding for the theoretical, experimental and creative decisions. This course will consist of a series of consultations to the teachers, but the essay should written by the student. The available topics are given by the Departments of the Faculty. The student can propose also a special topic for research during the course, but the teacher has to be agree with the proposal.

Different departments of the Faculty of Architecture offer the same course titled Architectural Research for Exchange Students. However, the specific research topic varies according to each department’s area of expertise. Please apply to only one of these courses, based on your research interests.If you register it in the Fall semester, you can also register it in the Spring semester, but at a different department.
Please note: this course can only be taken once per semester. 
University of UniversitiesStudents joining the Department of Graphics, Form & Design will have the opportunity to participate at the University of Universities. UoU (https://uou.ua.es) is an international / interacademic course with the contribution and close collaboration of 40 faculties of architecture and arts around Europe, of which our department has been an active member since its first edition three years ago. Instead of a single specific research program, our students will have the opportunity to join six (2-week long) compact project or research-based creative & scientific workshops, over the course of the semester. Each of the 6 sessions offer a selection of 3 to 5 online workshops, covering various fields of Architecture & Arts, among which students have complete freedom to choose, according to their interest and preference. We will also offer students developing the results of one or more of their workshops into a scientific paper the opportunity to publish at the open access UoU Scientific Journal (indexed at DOAJ / SHERPA / RoMEO / Dialnet / Norwegian Register for Scientific Journals).For more information, please visit the following link: http://www.rajzi.bme.hu/en/research/research-themes/630-university-of-universities

Different departments of the Faculty of Architecture offer the same course titled Architectural Research for Exchange Students. However, the specific research topic varies according to each department’s area of expertise. Please apply to only one of these courses, based on your research interests.If you register it in the Fall semester, you can also register it in the Spring semester, but at a different department.
Please note: this course can only be taken once per semester.
Architectural Research for Exchange Students on the topics of the Department's competency. The aim of the subject is to carry out a research on a special topic. The research contains specifying and processing the related international literature, summing up the findings in a study and finally a presentation. The language of the research depends on the consultant - the available topics are listed on the department's homepage.

Different departments of the Faculty of Architecture offer the same course titled Architectural Research for Exchange Students. However, the specific research topic varies according to each department’s area of expertise. Please apply to only one of these courses, based on your research interests.If you register it in the Fall semester, you can also register it in the Spring semester, but at a different department.
Please note: this course can only be taken once per semester.
Architectural research for exchange and international students: with the professional leadership of the tutors of the Department of Urban Planning and Design students work on individual research topics (eg.. Urban History, Urban Tipologies, Urban Morphologies, Housing estates etc.). The course is based on individual work, with a final output of an essay.

Objectives: How to decide whether to accept or reject the argument that we read in our favourite dailies and weeklies? What tools do we have for such an inquiry? Are there any boundaries that should be taken into account when composing and presenting an argument? Within the subject we seek to find answers to similar questions. It is going to unfold what remains from an article after a careful application of argumentation techniques and we are going to discuss how to bring a prima facie hardly defensible position to success. Moreover, students are going to be encouraged to participate in grand-scale debates about hot topics by using the recently learned argumentative toolkit.

During Argumentation, Negotiation, Presentation, students can acquire basic theoretical and practical knowledge of each of the three topics, with a specific focus on their profession. The first topic of the course focuses on Argumentation Techniques and aims to discuss the specifics of different types of disputes, primarily rational debate. Students can improve their argumentation, debate, and presentation skills through analysis of real-world conversations, vides, and personal examples. They also learn to use logic tools to help them cope with argumentative and rhetorical situations both in work and private life. The second topic of the course is about Negotiation Techniques. It aims to show the basic types and strategies of negotiation, the pitfalls of negotiation situations, and the suggested ways to avoid them. The theory is put into practice through case studies and small group assignments, simulating real-world negotiation situations, where students can test and improve their negotiation skills to prepare for the challenges of the labor market. The third topic of the course is about Presentation Techniques. It aims to discuss the most important presentation skills and tools through case studies. Students can test and practice their knowledge with live role-plays and simulation of rhetorical exercises during the semester. The course also allows students to try and practice presentation situations (TDK lectures, project presentations, diploma defense, business presentations, etc.) that are frequently repeated during their studies and work.

https://portal.vik.bme.hu/english/students/subjects/VIIIMB06/en/

https://portal.vik.bme.hu/kepzes/targyak/VIMIAC16/en/

The main objective of the subject is to map the ethical problems related to artificial intelligence and automatization and to show the possible solutions to these problems. The students get a glimpse into the contemporary situation of AI in terms of technological preparedness and market penetration. The most important ethical frameworks are discussed. While the course addresses both topics in detail, it do not have pre-requisites as it was designed to be accessible for all students of a technical university. At the second part of the semester, the two main topics get synthethized with a particular view to the recent findings and proposals of the related international engineering organizations (IEEE, ACM, VDI, university centres). The problems are framed by using case studies (e.g., ethical concerns of autonomous cars, recommendation systems, ethical problems of browsers with AI, unemployment and AI, AI and issues of world security, rights of AI agents). The examples might change to represent the actual trending topics of the field.

Artificial Intelligence for Learning Support is a practice-oriented course designed to help you use AI consciously, critically, and effectively in your own studies. Instead of focusing on programming or technical development, the course explores how tools such as large language models and adaptive systems can support understanding, practice, feedback, and self-directed learning. You will learn how AI works, where its strengths and limitations lie, and how to evaluate AI-generated content responsibly in academic contexts. Through hands-on workshops and a personal learning project, you will design your own AI-supported learning strategy while addressing ethical issues such as bias, transparency, and academic integrity. If you want to improve your digital and AI literacy, strengthen your critical thinking, and become a more independent and reflective learner in the age of AI, this course is for you.

Aim: Introduction to machine learning from a physicist's perspective, with the aim to understand how it works and less emphasis on tricks or parameter optimization.
Subjects: Regression. Image segmentation. Decision tree. Deep learning (from scratch in numpy). Higher level implementations (tensorflow, sklearn, keras). Convolutional neural networks. Pre-trained models. Data augmentation. Textual data. Sequential data. Game models.

The student should prove that he/she has acquired the knowledge and fulfilled the general requirements required by the BSc programme. The Bachelor Thesis project course establishes the frame to the special workflow for structural engineering The subject of the Bachelor Thesis project is from within the domain of structural engineering in accordance with the outcome requirements.

https://portal.vik.bme.hu/kepzes/targyak/VIETAA00/en/

https://portal.vik.bme.hu/kepzes/targyak/VIHIAA01/en/

Students get acquainted with the basic issues of quality management and total quality management. In the second part of the semester those quality management techniques and tools are introduced that can be used effectively and efficiently during the formation and improvement of quality management systems.

The subject is suggested for student on MSc course to refresh the structural studies of the different BSc courses. The typical structural problems are presented: beams, slabs, columns, walls, trusses and bracings. All the typical structural materials are presented too: reinforced concrete, steel, timber and brick. The structural analysis is on the focus: loads, the hierarchy of structural elements, equilibrium, internal forces, stresses. The resistance of the structural elements is the other topic: elastic and plastic resistance, buckling resistance. The Eurocode is the base of the resistance calculations, but the subject tries to be “code freeCloseCurlyDoubleQuote, the knowledge can be used all over the world. After all the students pass this subject can be ready for the advanced courses of our MSc: Special Loadbearing Structures, Comprehensive Design and Diploma Design.

The primary aim of the course is to provide the students with basic knowledge on the process of civil engineering design and the structural behaviour. During the semester the following topics are discussed: engineering design, structural design process and methodology, hierarchic and spatial structures; modelling of structures (structural model); probabilistic background of structural design, partial (safety) factor method; actions on structures, selection of critical load case, design load; internal stress and strain, material laws, elastic and plastic resistance; analysis methods, geometrically linear and nonlinear analysis, linear and nonlinear material behaviour, superposition; limit states (ULS&SLS), structural failure modes; design of structural members (beams and columns), design of structures for horizontal actions; bracing systems; selection of structural form and material, thrust line; spatial structures; classification of structures according to their form and static behaviour.

The primary objective of the course is to provide basic knowledge on the process of civil engineering design and the structural behaviour. Main topics: engineering design, structural design process and methodology, hierarchic and spatial structures; modelling of structures (structural model); probabilistic background of structural design, partial (safety) factor method; actions on structures, selection of critical load case, design load; internal stress and strain, material laws; analysis methods, geometrically linear and nonlinear analysis, linear and nonlinear material behaviour, superposition; limit states (ULS&SLS), structural failure modes; design of structural members (beams and columns), design of structures for horizontal actions; bracing systems; selection of structural form and material, thrust line; spatial structures; classification of structures according to their form and static behaviour.Another objective of the course is for each student to make significant progress in the area of problem recognition, understanding and problem solving competences, in relation to his/her own level of input competences, with the possibility of individual tutor support. Further aims are to deepen students' knowledge in the use of digital technologies (design softwares) as well as to acquire a complex knowledge in field of structural engineering at a level that will allow them to present this competence as an element of their portfolio.

https://oktatas.gpk.bme.hu/tad/tantargy/BMEGEMMNWBS

The aim of the subject is to provide high-level scientific and practical knowledge to the future chemical and bioengineers of chemical and biological industries (pharmaceutical, agro- and fine chemical, cosmetic and food industries) with special focus on the development of problem solving skills related to chemical problems by using the tools of biotechnology. 
Biotransformations and biocatalysis
Characteristic advantages and disadvantages of processes – Enzyme classification and nomenclature – Coenzymes – Enzyme kinetics – Protein structure and basics of enzyme action – Effect of conditions on enzyme activity – Characteristics of microbial transformations – Enzyme- and cell immobilization
Development of novel biocatalysts
Genetic engineering tools – Production of biocatalysts by recombinant organisms – Novel methods of modifications of enzyme properties by genetic methods: site directed mutagenesis, gene shuffling, directed evolution, metabolic engineering, random DNA cloning – Catalytic antibodies – High throughput test methods
Stereochemical issues related to biocatalytic processes
Basic terms of stereochemistry – Methods to determine enantiomeric composition – Classification of selective transformations
Types of selectivities for biocatalytic processes
Mild conditions – Chemoselectivity – Regioselectivity – Diastereomer selectivity – Diastereotopic selectivity – Enantiomer selectivity – Enantiotopic selectivity – Parallel manifestation of multiple selectivities
Hydrolases
General features of processes performed by hydrolases
Characteristics of hydrolases used for preparative purposes – General features of transformations by hydrolases: hydrolytic processes in aqueous media – non-hydrolytic processes in organic solvents
Preparative application of hydrolases: types of the applicable selectivities
Biotransformations under mild conditions – Substrate specificity, chemoselectivity – Regioselective transformations – Diastereomer and diastereotopic selective processes – Enantiomer selective biotransformations: general considerations, transformations of amino acids and their derivatives, selective transformations of racemic acids (ester hydrolysis, alcoholysis, transesterification), selective transformations of racemic alcohols (ester hydrolysis, acylation, transesterification), racemic lactones, amines, epoxides and other compounds – Enantiotopic selective biotransformations: general considerations, transformations of compounds with a single prochiral center, reactions of meso compounds, enantiotopic and diastereotopic face distinctions by hydrolases
Oxidoreductases
General features of processes by oxidoreductases
Features of oxidoreductases applied for preparative purposes – Processes by oxidoreductases acting without external cofactor – General features of oxidoreductases acting with externally added cofactors – Cofactor regeneration methods by using oxidoreductases
Preparative use of oxidoreductases: types of useful selectivities
Reduction of racemic aldehydes – Oxidation of racemic alcohols – Reduction of achiral carbonyl compounds – Oxidation of prochiral and meso alcohols – Simultaneous manifestation of multiple selectivities in processes with oxidoreductases – Enzymatic Baeyer-Villiger-type oxidations
Baker's yeast as whole-cell system for preparative use
General considerations – Reduction of ketones: achiral ketones, racemic ketones, 1,2-dioxo compounds, 1,3-dioxo compounds, other dioxo compounds – Reduction of oxocarboxylic acid derivatives: 2-oxocarboylic acid derivatives, 3-oxocarboylic acid derivatives, 2-substituted-3-oxocarboylic acid derivatives, oxocarboxylic acid derivatives with carbonyl function at 4 or more distant position – Reduction of carbon-carbon double bond – Other reductions – Hydrolysis – Lyase activity – Cyclizations
Other preparative application of enzymes and microorganisms
Other enzymes: transferases (glycosidases, aminotransferases, phosphorylases) – Lyases (aldolases, oxynitrilases) – Selected examples of whole-cell biotransformations
Industrial applications of biotransformation
Enzyme and cell immobilization – Bioreactors – Stereoselective biotransformations carried out on an industrial scale
 

The subject (biochemistry) does not aim at giving comprehensive biochemistry knowledge. Instead it would like to give a short overview of the biochemical pathways and their connections. The first part gives basic knowledge from the field of basic cell biology. The second part focuses to the basic principles of enzymology and bioenergetics. This part gives background to the metabolic processes discussed in the third block. The energy producing processes such as the oxidative phosphorylation and the photosynthesis is embedded into this metabolic part. This metabolic part is followed by the forth, last part which discuss the basics of molecular biology.
Basic chemical and biological principles
Cells are the structural and functional units of all living organisms Prokaryotes, Eukaryotes,Basic cell chemistry,. Cells Are Made From a Few Types of Atoms, Chemical bonds, Water, the most abundant part of cells, Four types of non-covalent interactions, A cell is formed from carbon compounds.
Enzymes The catalysed reactions, Most enzymes are proteins, Enzymes are classified by the reactions they catalyse, How enzymes work, Enzymes Affect Reaction Rates, Not Equilibria, Specificity of Enzymes,Enzyme Kinetics, Enzymes are subject to reversible or irreversible inhibition,Reversible inhibition,Irreversible Inhibition, The regulation of enzyme activity.
Bioenergetics Cells obtain energy by the oxidation of organic molecules, Oxidation and Reduction Involve Electron Transfers,The free-energy change for a reaction determines whether it can occur, Activated carrier molecules: energy currencies, ATP is the most widely used activated carrier molecule, FADH2, NADH and NADPH are important electron carriers, Other activated carriers
Carbohydrate metabolism – glycolysis gluconeogenesis Glycolysis, The reactions of glycolysis, Fates of pyruvate and NADH, Energy yield of aerobic versus anaerobic glycolysis, Other functions of glycolysis, Regulation of glycolysis,Gluconeogenesis.
Carbohydrate metabolism – pentose-phosphate pathway Oxidative phase of the pentose phosphate pathway, The non-oxidative phase of the pentose phosphate pathway
Pyruvate dehydrogenase enzyme complex – TCA cycle Pyruvate Dehydrogenase Complex, Structure of PDC, Regulation of PDC, The TCA cycle, Reactions of the TCA cycle, Energetics of the TCA cycle, Regulation of the TCA cycle, TCA cycle in biosynthetic pathways and anaplerotic reactions, The glyoxylate cycle
Terminal oxidation – oxidative phosphorylation, ATP synthesis in the mitochondria Overview of terminal oxidation and oxidative phosphorylation, Electron transfer fromNADH to O2,The electrochemical potential gradient, ATP Synthase, Energy yield from the electron transport chain, Respiratory chain inhibition and sequential transfer, Coupling of electron transport and ATP synthesis,Regulation through Coupling, Uncoupling ATP synthesis from electron transport
Photosynthesis – Calvin cycle, General features of photophosphorylation Light absorption, Chlorophylls Absorb Light Energy for Photosynthesis,Light-Driven Electron Flow, The cytochrome b6f complex links photosystems II and I, Cyclic electron flow between PSI and the cytochrome b6f complex increases the production of ATP relative to NADPH,. Water is split by the oxygen-evolving complex, ATP synthesis by photophosphorylation, The ATP synthase of chloroplasts is like that of mitochondria, Carbohydrate biosynthesis in plants, Carbon Dioxide assimilation occurs in three stages, Photorespiration and the C4 and CAM pathways
Lipid metabolism – Fatty acid oxidation Lipid transport, Mitochondrial oxidation of fatty acids, Oxidation of a fatty acid with an odd number of carbon atoms, Oxidation of unsaturated fatty acids,Generation of ketone bodies,Biosynthesis of fatty acids,Cholesterol
Protein, amino acid metabolism Nutritionally nonessential amino acids have short biosynthetic pathways, Catabolism of proteins and of amino acid nitrogen, Transamination, Oxidative deamination of glutamate, Ammonia transport, Reactions of the urea cycle, Catabolism of the carbon skeletons of amino acids
Nucleotides Metabolism of purine and pyrimidine nucleotides,Purines and pyrimidines are dietarily nonessential, Biosynthesis of purine nucleotides, Biosynthesisof pyrimidinenucleotides
DNA replication Replication is semiconservative
13. Transcription
Translation The Genetic Code, Cracking of the Genetic Code, Wobble Hypothesis, Translational Frameshifting and RNA Editing, The process of protein synthesis,The ribosome, Transfer RNAs,Stages of the translation process

Biopolymers are polymers arising in living organisms (e.g. microorganisms or higher order plants and animals) or synthesized from bio-based building blocks (e.g. acids, amino acids, carbohydrates, natural triglycerides) in a chemical process. The course introduces the students to the most significant biopolymers, their chemical structure, properties and the most important applications.
Introduction
The importance, classification, general characteristics, most significant application areas and economic importance of biopolymers. Research trends in Hungary and abroad. The basics of carbohydrate chemistry.
2.Polysaccharides (plant based) I-II.
The cellulose macromolecule, its chemical structure, intra- and intermolecular interactions, fibrillar structure, crystallinity, accessibility. The most significant cellulose sources. The structure and chemistry of wood. Cellulose production. Cellulose derivatives (cellulose esters, cellulose ethers). The chemical and biological degradation of cellulose. Hemicelluloses. Pectins.
3. Polysaccharides (plant based) III.
Starch. The chemical structure, characteristics and chemical reactions of starch. Starch sources. Starch derivatives. The most significant application areas. Starch based blends.
(2 classes)
4. Polysaccharides (animal based)
Chitin. Chemical structure, availability, isolation. Physical and chemical characteristics, application areas (agriculture, industry, medicine)
Chitosan. Chemical structure, synthesis. Physical and chemical characteristics, application areas (agriculture, industry, horticulture, medicine)
5. Polyphenols
Lignins. The availability, biosynthesis and classification of lignins. The isolation, structure and reactions of lignins. The biodegradation of lignins. The characteristics of the lignin-holocellulose system, the chemistry of delignification.
The chemical structure and availability of tannins. Hydrolysable and condensed tannins. The interactions of tannins with macromolecules (carbohydrates, proteins, polysaccharides, enzymes).
6. Proteins (Polyamides)
The primary, secondary and tertiary structure of proteins. Animal and plant based proteins. Wool keratin. The morphology, chemical and physical characteristics of wool. Silk fibroin. Regenerated protein fibers. New application areas. Collagens and gelatins. Enzymes.
7. Polyesters (synthetic) I-II
The importance and chemical structure of linear polyesters. The most significant linear polyesters (poly(glycolic acid), poly(lactic acid), polycaprolactone), isomers, crystallization; the synthesis of poly(lactic acid), its physical ageing and macroscopic properties. The lectures mainly discuss the general characteristics of linear polyesters through the example of poly(lactic acid).
8. Polyesters (microbial)
The chemical structure, synthesis (fermentation, bioreactors) and characteristics of microbial polyesters (polyhydroxyalkanoates); the role of crystallinity and its modification; the most significant polyhydroxyalkanoates (poly(3-hydroxybutyrate), poly(3-hydroxyvalerate), poly(3-hydroxyhexanoate)) and their copolymers.
9. Polyols, polyurethanes
Synthetic biodegradable polyols from natural sources (plant oils, carbohydrates, lignin), their chemical structure, reactions and industrial significance; the synthesis of polyurethanes based on the reaction of conventional isocyanates and natural based polyols.
10. The processing and application of biopolymers I-II.
Specific characteristics of the processing of biopolymers. The most significant application areas of biopolymers. Biopolymer based blends and composites.

The primary aim of the course is to provide the students with basic knowledge on the functional and structural design principles as well as the structural behaviour of bridges and key objects of the infrastructure. During the semester the following topics are discussed: historical development, basic terms and classification of bridges; superstructure systems, typical superstructures of steel, steel and concrete composite as well as concrete bridges; composite action between main girders; basis of bridge design, traffic load models and their application rules for highway and railway bridges; substructures of bridges (abutments and piers), bridge equipment; conceptual design of bridges (fitting of bridges into environment, bridge aesthetics); civil engineering work of traffic infrastructure, water-supply and waste-water systems and hydraulic engineering

Flat roofs. Classification, general design aspects, basic construction principles (inclination and geometry of the water collecting areas) according to the impacts on the roofs. Arrangement of roofing layers. Requirements concerning to the different constructions, layers, materials, building physics. Waterproofing (membranes, coatings), applied materials and their features. Technologies and details. Tracking type and terrace roofs, green roofs. Flooring. Effects and requirements. Layers, subsystems, acoustical evaluation. Substructures of floor coverings and their technical features. Classification according to the materials, specifications. Waterproofing against domestic and industrial wet effects. Drywalls, suspended ceilings, internal wall coverings. Labelling systems, design aspects, effects, requirements, basic structural principles. Internal separating structures of residential buildings satisfying acoustical requirements, connecting details of slabs, floorings and stairs. Principles of primary building engineering service systems and building constructions of sanitary block.

The subject deals mainly with pitched roof constructions, roof coverings and different types of foundations – the latter with consideration to waterproofing solutions. During seminar lectures the principles and details of shallow and deep foundations are introduced, according to functional and load bearing requirements of various building constructions as well as subsurface water and soil type effects. Also introduced are the functions and primary principles of different pitched roof constructions such as: traditional roof, rafter type (modern) roof, purlin and truss type roof as well as contemporary methods of carpentry. Further explanation is provided on occupied (built-in) attic constructions with focus on principles, layers, ventilation, windows and lighting. The main types of roof coverings are shown, such as concrete and clay tiles, flashings and metal roof coverings with special attention to principles and details.

Students become familiar with the basic mechanical and physical properties of construction materials. Basic physical, mechanical, and hydromechanical properties of the most important structural materials: density (specific gravity), stress-strength, deformation-strain, shrinkage, toughness, brittleness, fatigue, creep, relaxation, hardness. Binder materials, mortars, concrete, iron, steel, timber, ceramics, bricks and masonry elements, natural stones, glass, polymers.

Water supply
The physical and chemical properties of water. Obtaining of water from the nature. Mechanical, chemical and biological treatment of water. Water treatment process of swimming pools. Transport of water. Characteristics of water pumps. Fresh water demand and production, hydrofors and hydroglobes. Cold water distribution network in a building. Metering of water consumption. Pipe materials and appliancies: valves and taps, safety equipments. Fire protection networks. Domestic hot water demand and production. Domestic hot water networks in a building. Boiler types. Circulation. Appliancies: toilets, baths, showers, washing machines, etc. Legionella.
Waste water systems
Requirements of waste water networks. Traps and syphons. Sanitary rooms for disabled people. Waste water networks. Rain water networks. Pipe materials and fittings.
Gas supply
Physical properties of natural and PB gas. Dangers of gas supply. Safety requirements. Gas supply networks outside and inside the building. Gas meters. Materials and fittings of gas networks. Gas appliancies: boilers, stoves, ovens. Categorisation and safety requirements of appliancies. Chimneys: types and requirements. Parameters of drought. Drought diverter.
Artificial lighting
Visual environment and its components. Characteristics of the human vision. Essential ideas of lighting technique: luminous flux, luminous intensity, illuminance, luminance. Characterisation of surfaces: reflection and transmission, spreading of light, colour. Requirements concerning the lighting. Average illuminance and its uniformity. Colour rendering. Modelling – shadows effect. Limitation of glare. Colour appearance. Balanced ratio of luminance. Cost efficiency. Artificial light-sources. Incandescent lamps. Fluorescent tubes. Compact tubes. HID lamps: mercury lamps, metal halide lamps and sodium lamps. Meeting of requirements. Efficiency-method. Proposed setting of luminaries. Electric network of buildings Parts of the network. Characteristics of the network: form, nominal voltage. Typical installations: lighting, building services and technology. Connection of building to public network. Transformers and its placing. Required areas of switchboards and transformers. Indirect contact.

The aim of the course is to acquaint the students with the building and environmental aerodynamic phenomena and problems occurring in engineering practice, their investigation methods. Significant emphasis is placed on the study of wind effects on buildings and engineering structures using wind tunnel measurement techniques, in addition to the issues of urban climate, wind comfort and the spread of atmospheric pollutants. The course also describes the characteristics and requirements of the application of flow numerical simulation (CFD) in this field. During the preparation of a group project task, students are introduced to the use of one of the above-mentioned research methods.

One dimensional steady state heat transfer of composit slabsThermal condition for a room, balance temperature of a nonheated space, energy conservation approaches. Conduction: Fourier’s equation, Concept of thermal conductivity, Range of thermal conductance of building materials, One-dimensional steady state conduction through a plane slab. Convection. Steady state heat transfer of composite slabs, overall heat transfer coefficient, temperature gradient. Modified conduction of insulations. Air gaps. Reverse tasks: Maximizing inner temperature different. fulfilling new U-value requirement for existing wall. Examples.Linear heat transmissionIntroduction to Thermal Bridges, Definition of Self-Scale Temperature, two applications of SST, Definition of Apparent Thickness, Generalized model of wall corner, generalized model of wall corner temperature, Example: estimation of wall corner temperature. Moisture transfer Definition of Moist air, Dalton‘s Law, Moisture content, Saturation vapour pressure, Relative humidity, dew point, dry and wet bulb temperatures, Specific Enthalpy, Moisture balance, Mechanism of vapour transfer, Scope of calculation, Vapour conductivity and resistance, Overall vapour resistance of multilayer wall, Overall vapour transfer, Design consideration, example. Introduction to Solar Architecture Indirect Solar collecting walls. Mass walls: principles, surface, shading, energetic operation, delaying, losses, operation in summer, irradiated solar energy, examples, simplified thermal model. Example: calculation of thermal balance of a mass wallSolar Design Strategies Sustainable future (global impact of buildings, energy crises, the 2030 challenge, sustainable future). Energy Conscious Design (historical overview - traditional and modern architecture, international style, energy conscious architecture and refurbishment). Energy Conscious Refurbishment. Building Energy Standards (building energy regulation, certifications, standards). Energy Consumption of Buildings (Low and Passive and "zero" energy buildings). Autonom buildings. Energy Conscious Architecture, Passive Solar Systems (smart conceptual design, building volumes, thermal mass, mass wall, Trombe wall, transparent insulation, sun space, green roofs). Active Solar Systems (pv-panesl, solar collectors, heat pump, wind turbine)

Recommended entrance level: B2
- The course is aimed to engage students in business communication in the target language, to master business English vocabulary and to understand business processes. The course is aimed at students pursuing economics and engineering studies, providing them with the opportunities to understand and accept the similarities and differences in economic and engineering approaches.
- After completing the course, students will understand not only professional texts but also texts and videos intended for a wider audience, and they will be able to write texts related to managerial work (e.g., summary, reminder, official letter). As a result of the structured development of economic vocabulary, students are able to participate in workplace communication, can comment on economic events, and gather, organise, and share information about companies.
- Completion requirement: active participation in classes (maximum 30% absence allowed) and completion of assignments and / or progress tests issued during the semester.

https://portal.vik.bme.hu/kepzes/targyak/VIAUMA24/en/

The aim of the course: Characteristics of the Anglo-Saxon and continental systems of business law. The development of the system of the Hungarian business law. Basic legal institutions of the state to manage the economics. Organisations and enterprises as the subjects of law: conceptional questions. International models of company law. The development of the Hungarian company law. General rules of the Hungarian Company Act. Internal organisation of companies. The law of company registration, the registration proceedings and the company registry. Companies with a partnership profile. Companies limited by shares. Concept and types of securities. Competition law. EU directives and regulations on companies and competition: their execution in the Hungarian law.

https://oktatas.gpk.bme.hu/tad/en/tantargyak/BMEGEGTBG65

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEATBSGPCFD-01

The goal of the subject is to present basic information on the technologies and organization of construction work, with special respect on construction activities of sub and superstructures. Considering the character of the subject both theoretical and practical knowledge is essential, therefore besides the lectures the site visits play emphasized role as well.Main topics:The construction process. Phases and participants of the construction process (roles, responsibilities, connections, etc.). Technical preparation and controlling of the construction. Handover – take-over of the building (reviewing the constructions – quality and quantity – and the plans)Introduction to construction technologies, conditions, requirements. Aspects of selecting the technology. Sequence of construction works (the follow-up of processes).Main equipment of construction (earthwork, foundation work, construction of loadbearing structures, etc.) Material supply on site – to the site.Informations about the construction site. Construction site planning.Time scheduling. Types, realations. List of operations, survey for quantities, labour schedule, plant schedule, material schedule.

The subject introduces the investment process from emerging the idea through tendering until the hand-over and use. It shows the role and tasks of an architect in different phases of a construction process. It gives an introduction of real estate investment, basics of project management. The relationship between costs, time and quality: scheduling, planning and estimating and the procurement methods are revealed. There are case studies in the field of construction projects, their preparation and performance, planning, organising leading and commanding of works.
Main topics:Building project managementParticipants of the constructionStart-up of the construction project - architectural competitionTendering and contractingScheduling, networksCost estimationPost occupancy evaluation

Chapter 1: Complex Numbers (1 week)
Week 1: Arithmetic of complex numbers. (Basic operations, algebraic, trigonometric, exponential form, Euler's formula,n-th root of complex numbers.)
Chapter 2: Real Number Sequences (2 weeks)
Week 2: Concept of limit. Operations with convergent sequences. Squeeze theorem. Special sequences.
Week 3: Monotonic and bounded sequences are convergent. Recursive sequences. Bolzano–Weierstrass selection theorem, accumulaton point, limit superior, limit inferior. Cauchy convergence criterion.
Chapter 3: Single variable real functions (10 weeks)
Chapter 3.1: Limit, continuity
Week 4: Limit of a function. Transfer principle. Calculation rules. Limit of sin(x)/x.
Week 5: Classification of discontinuities. Bolzano's theorem. Weierstrass's theorem I, II. Uniform continuity, Heine's theorem.
Chapter 3.2: Differentiation and its applications
Week 6: The concept and illustration of the derivative. Derivation rules.
Week 7: Chain rule, derivative of inverse function. Elementary functions.
Week 8: Rolle's theorem, Lagrange's theorem, L'Hospital's rule.
Week 9: Analysis of functions.
Chapter 3.3: Riemann integral
Week 10: Primitive function, indefinite integral (antiderivative), integration rules.
Week 11: Definite integral. Newton–Leibniz theorem.
Week 12: Integration by parts, integration by substitution. Integration of rational fractions.
             Week 13: Improper integrals. Application: area, surface, volume calculations.

The course presents recent developments in nanotechnology and nanoscience using chemical methods. We will overview measurement techniques for nanosclae building blocks, namely transmission electron microscopy (TEM), scanning electron microscopy (SEM), dynamic light scattering (DLS). Synthesis of nanoparticles: chemical, physical and biological methods and chemical stabilization of nanoparticles. Purification and size and shape-selective purification of nanoparticles. The stability of nanoparticles and interactions existing at nanoscale and using them for the self-assembly of nanoscopic components: nanostuctured materials. Usage of nanoparticles in chemistry, medicine and chemical robotics. Targeted drug delivery applications.

The subject summarises the urban design elements, activities, actions and tools previously learned and mastered in the department's compulsory and optional courses from the point of view of the city's inhabitants and users. "What is a city but people?" (W. Shakespeare) The course looks at cities from the perspective of the users, the inhabitants, from a kind of internal point of view, trying to understand the nature of change and the role of local societies, how the same tool can have different effects and spatial imprints in different cities on different socio-economic grounds. The subject examines the interaction between the physical environment and social and economic change in specific types of cities. For cities in different positions / geographic location, development, economic potential, social composition- it will examine the effects of each of these elements on change, whether identical or different, of course, not ignoring the different effects of climate change or technological development. It also attempts to capture the spirit and nature of cities by including the cultural context. In the seminar-like but interactive theoretical lessons, thematic summary analyses based on international literature are complemented by literary and film material that is representative of the cultural imprint of the cities under study.

The aim of the subject is to introduce the fundamental concepts of engineering calculations of frame structures. Particular emphasis is put on the calculation of principal stresses in given material points of a beam, as well as finding internal forces in beam cross sections in response to moving loads. A further aim is to introduce calculation methods for the displacements of beams and to give a general overview of the relationship between internal force and displacement functions of a beam. By completing the subject, this knowledge will enable the student to accomplish tasks related to civil engineering problems.

The aim of the course is to develop problem identification and problem-solving skills, as well as to establish and enhance students' spatial visualization abilities and ensure confident graphical communication. Within the course, students become familiar with two representation systems: the perpendicular parallel projection system and dimensioned representation. During the semester students get acquainted with the following topics: imaging and reconstruction in Monge's two projection plane imaging systems, representation of space elements in a general and special position, catching, visibility, transformation of field elements, intersection tasks, intersection of solids with plane surfaces into rotation surfaces, levelling, interpenetration of solids with planes and rotation surfaces, shadow editing, line moving generated surfaces which can not be expanded.

https://portal.vik.bme.hu/kepzes/targyak/VIHIAB04/en/

Geometric and abstract duality, weak isomorphism (2-isomorphism) and the Whitney theorems.
Vertex and edge coloring, Mycielsky's construction, Brooks' theorem. 5-colour theorem, Vizing's theorem, connection of edge-colouring to matchings, Petersen's theorem.
List colouring of graphs, Galvin's theorem.
Perfect graphs, interval graphs and the perfect graph theorem.
Ramsey's theorem, Erdős-Szekeres theorem, Erdős' lower bound and the probabilistic method. Turán's theorem, Erdős-Stone theorem, Erdős-Simonovits theorem.
Hypergraphs, Erdős-Ko-Rado theorem, Sperner's theorem and the LYM inequality.De Bruijn-Erdős theorem, finite planes, construction from finite field, and from difference sets.Generating functions, Fibonacci numbers, Catalan numbers. Posets, Dilworth's theorem.

Basic graph theory, adjacency matrix, distance, path, connectedness, clustering.Random (Erdős-Rényi) networks, degree distribution, clustering, Watts-Strogratz network. Preferential attachment, scale free networks, configuration model. Temporal networks, burstiness. Growth models and cascades. Diffusion, spreading.Local measures, link prediction.Mesoscopic description: communities (stochastic blok model, inference, modularity,node/link hierarchical clustering, clique percolation), hierarchical, core-periphery structures.Sampling of networks.Navigation, search on networks.

The aim of teaching the subject is to acquaint with the procedure of numerical modeling of flows. Enable the independent construction of flow models and flow-connected thermal models, as well as the evaluation of the accuracy and reliability of modeling. Explain the principle of the finite volume method, the types of boundary conditions, the basics of turbulence modeling, several commonly used turbulence models, the requirements for the numerical mesh, and the mesh generation methods. As a practical application, it covers channel flows, streamlined bodies, flow engineering machines, and modeling of room flows.

https://portal.vik.bme.hu/english/students/subjects/VIVEMA23/en/
Need for engineers with skills connected to Building’ electricity is very significant. Our goal to give such skills for the student that help to fulfil this need providing knowledge about computer aided design of electric systems of buildings.

The process control gives funded knowledge about the control theory and practice. Currently, everywhere the computer is used, also for control. The compter helps, however, not only for the control but also for the design of the control sturctur. It enables the engineer to calculate controllability features and also modelling both steady state and dynamic.
Single input single output (SISO) processes, control of SISO systems
Multiple Input Multiple Output processes (MIMO), control of MIMO systems
State-space modelling, state-space models
Determination of gain array
Desing of control structure for MIMO systems, Controlability indexes, Niederlinski index, Interconnection of control loops, measurement of the interconnection among control loops, relative gain array, condition number, singular value
Morari resiliency index
Complex steps of control sturcture design for MIMO systems.
Uncertanity in the controler tuning, Skogestad-Morari method
Doyle-Stein criterium
Alternatives of the computer application for control and operation.
On-line data collection, supervisory control, direct digital control
Hardware tools
Sampling theory, mathematical modeling, Time function, Laplace transormation, Frequency function
„Z”-transformation, characters of the Z-transformation
Application of the Z – transformation,
Sampling theory, Dead time in the Z domain,
Stability in the Z-domain
Internal Model Control,
Model Based Control
Smith predictor

Law may differ from country to country, however, the basic terminology and rules are similar.With the knowledge gained during the course, students will be able to explain their problem to a lawyer in legal language and to control the solution provided. Students will be better acquainted with social environment and gain an appropriate legal culture. Basic legal terminology and general rules are explained.The other aim of the course is to get to be able to investigate the law of the student’s home country, also to meet the similarities and differences. Through discussion it is possible to gain a complex and international understanding.Students get acquainted with the process of the most important construction management procedures, turning points and sample documents.As most of the students have never studied any legal subject yet it is important to commence with the basic rules. Main topics of the semester: law and other norms, rights and obligations of natural persons and legal entities, the property law, the land law, the law of contracts, the design and the construction contract, the legal regulation of the construction process.

Curricula, themes, individual projects, tests, subjects of lectures and seminars of the Course are embracing managerial and organizational learnings useful and necessary for all civil engineers, such as: - jobs and organizational structure of Contracting Construction Trade; - jobs and relations of parties collaborating in executing construction projects;- time and resource needs of executing construction projects (basic methods and terms of time-, resource- and cost estimates);- basics of mechanizing Construction, construction equipments and auxiliary plants, typical applications;- organizing construction site (site layout designs).Individual project: Organizational plans (time estimates, resources calculations and site layout designs) of building a simple linear structure (reinforced concrete retaining wall) well known in practice of all civil engineers.

Students become familiar with the mechanical and physical properties of construction materials. Aspects and requirements of the selection of construction materials. Application fields of construction materials. Influencing factors to the strength of concrete. Influencing factors to the freeze-thaw resistance and water tightness of concrete. Fibre reinforced concrete. Lightweight concrete. Metals. Aluminium and aluminium alloys. Production of iron and steel. Phase behaviour of iron-carbon alloys. Morphology of metals. Martenzit. Heat treatments for steel. Materials for road constructions. Bitumen and asphalt: definitions and properties. Concrete corrosion: definitions and properties. Protection against concrete corrosion. Polymers. Paints and surface layers. Pavement markings. Thermal and acoustic insulations.

During the semester, students will learn basic chemical concepts.During the semester, students will learn basic material science concepts and the basic characteristics, testing methods and application of the most important building materials (metals, concrete, ceramics, timber, glass and plastics). Students will receive guidance on the aspects necessary for selecting materials for different structures. One of the objectives of the subject is that each student should develop significantly in the field of building materials compared to their own input competence level, and for this purpose, they can also use individual tutoring.Students will deepen their knowledge and develop their skills by processing the knowledge acquired in the above topics during contact classes and individual work at home.

The course aims to introduce architectural CAD modeling, promoting a higher level of understanding and creation of geometric forms used in architecture, so that students learn to consciously interpret more complex architectural forms and build and reconstruct them in a CAD system.

Understanding the contemporary development of the inherited urban landscape is not about what to do, but how to think about what to do. The seminar focuses on the closed/open duality of the urban fabric because this qualitative dimension characterizes not only the physical context but is also strongly related to the social. On one hand, the degree of closeness/openness is one of the most important characteristics of every historic, modern, and contemporary urban form, and on the other hand, these physical forms influence or define the space usage within the city.As international students have various cultural and educational backgrounds, the course uses the opportunity to learn from each other, to discover, and compare several urban case studies. The practical part facilitates this method by analyzing so-called “déjá vu” urban situations worldwide. The course introduces local and global components that shape the contemporary city and gives tools for further complex discovery related to urban design or research.

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEMIBXIT

https://edu.gtk.bme.hu/local/tad/tad.php?id=1143&lang=en

The main objective of the course is to provide specialized knowledge of corporate law and related areas of law in the training system of management and finance students. In compiling the knowledge base, we set approach for sup-porting the students with a complex and higher level of knowledge in private and civil law. Our goal is also to enable students to recognize emerging legal issues while using individual and organizational forms of learning.
In the everyday business, it is essential that an economic expert also be able to navigate between different forms of entrepreneurship, and bears the necessary knowledge to run and manage companies – in various forms.
The subject matter of the subject therefore consists of several larger units: basically provides the economic legal status (emphatically on corporate law) knowledge, based on the rules of the Civil Code; and also gives access to the legal regulation of related fields such as competition law, tax law, banking law and intellectual property law.
In discussing the certain areas of knowledge, the course pays special attention to approach the thoughts and interest of economics students, so they can learn not only the substantive rules, but also the rules of procedure. Due to the complexity of the topics, the students also need the innovative and creative thinking of the subject.

The basic goal of the course is to introduce the object creation and modeling toolset that can be used in architectural creative work, and to teach its practice, touching on its connections to interior design realized at various scales. It focuses on studio creative work, model building and object creation, and the related formalism and design.

https://edu.gtk.bme.hu/local/tad/tad.php?id=2362&lang=en

Recommended entrance level: B2
- The course is aimed to develop communication skills through the topic of cultural differences and prepare participants for managing intercultural situations they might face in their academic and/or professional career in a globalised world. The focus is on oral skills development, though reading and listening comprehension, as well as writing skills are included.
- Upon completing the course participants will be able to talk about the background of cultural differences, manage intercultural differences with raised awareness and open up to groups from other cultures. Students can identify and analyse the values underlying cultural differences, as well as manage multicultural workplace or scientific and business situations which involve conflict management, discussing, planning and implementing ideas. The course not only develops analytical skills required to gauge and solve intercultural situations, but also emotional intelligence.
- Completion requirement: active participation in classes (maximum 30% absence allowed) and completion of assignments and / or progress tests issued during the semester.

Recommended entrance level: B2
- The course is aimed to develop communication skills through the topic of cultural differences and prepare participants for managing intercultural situations they might face in their academic and/or professional career in a globalised world. The focus is on oral skills development, though reading and listening comprehension, as well as writing skills are included.
- Upon completing the course participants will be able to talk about the background of cultural differences, manage intercultural differences with raised awareness and open up to groups from other cultures. Students can identify and analyse the values underlying cultural differences, as well as manage multicultural workplace or scientific and business situations which involve conflict management, discussing, planning and implementing ideas. The course not only develops analytical skills required to gauge and solve intercultural situations, but also emotional intelligence.
- Completion requirement: active participation in classes (maximum 30% absence allowed) and completion of assignments and / or progress tests issued during the semester.

- The course is aimed to develop communication skills through the topic of cultural differences and prepare participants for managing intercultural situations they might face in their academic and/or professional career in a globalised world. The focus is on oral skills development, though reading and listening comprehension, as well as writing skills are included.
- Upon completing the course participants will be able to talk about the background of cultural differences, manage intercultural differences with raised awareness and open up to groups from other cultures. Students can identify and analyse the values underlying cultural differences, as well as manage multicultural workplace or scientific and business situations which involve conflict management, discussing, planning and implementing ideas. The course not only develops analytical skills required to gauge and solve intercultural situations, but also emotional intelligence.
- Completion requirement: active participation in classes (maximum 30% absence allowed) and completion of assignments and / or progress tests issued during the semester.

https://portal.vik.bme.hu/kepzes/targyak/VIHIAV43/en/
The aim of the course is to provide students an insight into the security problems related to the operation of computer systems. The course also discusses the basics of attacks against computer systems and defense against them. By discussing the possibilities of implementing defense, the students get an insight into the basics of operating a security operations center. The course examines the security of both networks and endpoints, from the perspective of both the attacker and the defender.
A secondary objective of this course is to help students prepare for the Cisco Certified CyberOps Associate exam which can be taken at independent certification centers.

https://portal.vik.bme.hu/kepzes/targyak/VIAUAC15/en/

Via some special modelling problems also to be elaborated by students the aim of subject is to introduce some basic skills and knowledge on applied mathematics for to support decisions when planning, controlling and monitoring construction projects.

To teach the basics and methods of mathematical statistical treatment of measurement data.To teach the design and analysis of the most basic full factorial experimental designs.
Random variable, density and distribution function, expected value, variance. Continuous distributions, normal distribution, standard normal distribution, ?2, t and F distribution. Central limit theorem. Population and sample. Parameter estimation. Hypothesis testing, parametric tests. Mutual distribution of several random variables, correlation. Principles of regression, linear regression. Checking adequacy, weighted regression, parameter estimation, partition of SSQ, confidence intervals. Design of experiments. 2p full factorial: the design, orthogonality and rotatability, estimation of parameters, significance tests. 2p-r fractional factorials.  

The aim of the course is to become familiar with the important construction and calculation methods of structural design. The main themes of the course include design of the bracing system, effect of earthquake, 2D surface structures (plate, wall structures), usage of the finite element method for 2D elements; construction and design of reinforced concrete structures and load-bearing masonry structures, like slabs, reinforced concrete frames and masonry walls both in ultimate limit state and serviceability limit state. The course prepares students for the construction of reinforced concrete and masonry buildings, that is related to architectural needs. Besides getting to know the structural systems, the subject also deals with the dimensioning of structural elements and provides an opportunity to learn modern computer calculation methods.

The subject introduces students into the way of design of approximate dimensions, joints and structural solutions of reinforced concrete structures. Invited lecturers expose some of the most significant recent investments in reinforced concrete in Hungary. The aim of the course is to develop the ability of students - on the basis of EUROCODE 2 - to adopt architectural dimensions and to evaluate the effect of the chosen architectural lay-out onto the structural solution.

The aim of the course is to introduce students to the characteristic design, load-bearing solutions, and sizing methods of timber building and bridge structures. Accordingly, within the framework of the course, topics such as timber grid systems and roof trusses, timber frame and arch structures as well as floor coverings, multi-story buildings, towers, composite timber-concrete floor systems, and typical timber bridge structures will be presented. In connection with these constructions, the discussion will cover structural design and the fundamental principles of strength analysis (structural outline, force distribution, geometric imperfections, typical cross-sectional and joint designs, stability analysis, stiffening). The different types of structures are demonstrated through examples of built constructions. In addition to describing the various structural types, we will discuss the basics of durability design and constructive timber protection for timber load-bearing structures, key sustainability issues of timber structures, the fundamentals of sizing timber structures for fire loads, and the special aspects of seismic design for timber buildings. The course will also cover the principles of numerical analysis for timber structures and the basics of BIM-based design.

Innovative medical electronics and consumer electronics with biomonitoring functions are hallmarks of the 21st century. Connected health devices, including wearable monitors and portable diagnostics, assist in decentralizing medical diagnostics and strengthening preventive medicine, as well as chronic disease management. The majority of these complex medical devices are developed by innovative technology startups. Thus, development of these devices takes a multidisciplinary approach: besides electronics, it needs intricate knowledge in standards, quality management, regulatory requirements and approval processes, design for manufacturing. A successful medical electronics device must meet essential functional criteria, be compliant with standards and regulations and must also be optimized for production.
The goal of this course is to assist in specialization and prepare students for a career in the development of innovative medical electronics devices. The course teaches necessary theoretical knowledge and practical methodology through the lifecycle of an innovative, handheld, Point-of-Care diagnostic test, from development to production. Stages of this lifecycle will relate to development, regulatory approval and compliance, quality management concepts and design for manufacturing. In the lectures, the theoretical background and methodology are covered, whereas in the labs the acquired knowledge is put to practice via case studies and exercises connected to the lectures and the various stages in the product’s lifecycle.

Objectives
The objective of the course is to provide students opportunity to develop their self-knowledge, social and emotional skills with the help of practice so they will be more open and sensitive for others. The course help to develop effective communication, assertiveness, conflict management and cooperation in the students’ private and work life. The course develops team-work skills.
Academic results
Knowledge
They know the schemes of communications.They know the most important conflict management opportunities.They get knowledge about themselves. Skills
They are able to recognize the basic psychological relationships and paradigms.They are able to use their psychological knowledge to make their life worth living.They are able to use their self-knowledge in their individual and work life. Attitude
They collaborate with the instructor and fellow students in expanding knowledge.They develop themselves consistently regarding the instructions.They try to integrate their psychological knowledge in their everyday life.They are open to psychological knowledge. Independence and responsibility
They organize their own learning process in the future to develop their emotional and social skills.They are open for new knowledge and for others’ opinion.As part of a team they can cooperate with each other to solve tasks and they can recognize when they need help.
Teaching methodology
Self-experience tasks, tests, self-reflective tasks, group tasks.

During the course, master's students will acquire the methods of visual inspection, condition assessment and structural diagnosis of civil engineering structures and engineering works: data collection, on-site inspections, sampling, laboratory tests. The student will become familiar with the expert activities of the construction field and must be able to apply the above-mentioned methods when preparing an expertise, e.g. strength, physical and chemical tests of concrete, reinforced concrete, stone, masonry elements, steel and wooden structures. Destructive and non-destructive tests. Diagnostics of structures. Diagnostics of building structures. Wetting and salt contamination of walls. Investigation of the causes of damage.

The students should prove that he / she has acquired the knowledge and fulfilled the general requirements required by the MSc programme. The Master Thesis project course establishes the frame to the special workflow for structural engineering, and pay outstanding attention to the field of geotechnics and engineering geology The subject of the Master Thesis project is from within the domain of structural engineering in accordance with the outcome requirements.

The student should prove that he/she has acquired the knowledge and fulfilled the general requirements required by the MSc programme. The Master Thesis project course establishes the frame to the special workflow for structural engineering. The subject of the Master Thesis project is from within the domain of structural engineering in accordance with the outcome requirements.

The aim of the course is to acquaint students with the systematic process of building a complete (dynamic and steady state) concentrated parameter model. It introduces the Matlab / Simulink interactive modeling and simulation environment as a tool for performing specific (concentrated, instational) tasks. Case studies are also presented: construction and simulation of selected simple and complex energy processes. Each student of the subject selects an energetic (sub) system and designs its modeling process in the form of an independent task - with or without an integrated control system. 
https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEENNWSE

https://oktatas.gpk.bme.hu/tad/tantargy/BMEGEMMBXM3

https://oktatas.gpk.bme.hu/tad/tantargy/BMEGEMMnwro

The aim of the subject is to introduce the basic concepts of mechanical vibration analysis of civil engineering structures, analysis of free and excited vibrations of SDOF, MDOF, and continuum structures using manual or computer methods, especially the mechanical background of support vibration and earthquake analysis.

The scope of the subject is to teach the students the basics of earthworks and retaining structures, such as different earth pressure theories, different retaining structure systems and their design rules, basics of design methods according to Eurocode 7, determination of characteristical values of soil properties in engineering practice, slope stability analysis, shear strength properties, different slip surface geometries, theoretical background of slope stability calculation methods. The student shall be familiar with quality control. Furthermore, the types, technologies and applicability limits of soil improvement, soil stabilization and dewatering will be presented.

The aim of the course is for the student to master the fundamental elements of earthworks and retaining structures. This includes:Various theories of earth pressureThe design and load-bearing calculation of retaining structuresThe basic elements of the design procedure according to Eurocode 7The practice of determining characteristic valuesKnowledge concerning the stability of retaining walls, the forces involved in their damage, and the sliding surfaces that develop in different soilsThe theoretical background of the computational methodsWithin the framework of the course, students will also become acquainted with the machinery and methods used in earth construction, with special attention to soil compaction. They must acquire the commonly used knowledge regarding geomaterials and dewatering in earthworks.

The aim of the course is to provide students with the necessary depth of ecological knowledge and perspective to be able to solve simple ecological problems as practicing engineers, to formulate questions for ecological professionals in more complex ecological problems and to understand the ecologist's conceptual and argumentative framework in order to communicate effectively. The aim is to familiarise students with (i) the more complex ecological impacts of engineering through case studies, (ii) the complex nature of environmental problems, and (iii) the engineering activities and technical solutions required to protect ecosystems. As part of this, students will be introduced to some of the mathematical models that can be used to describe aquatic environmental systems and that can greatly support ecologically focused engineering tasks.

The European Union is one of the world’s largest economies and one of most important actors of global trade. The course gives a comprehensive overview of the European Union’s economic law and policy, focusing on issues of economic integration, internal market, economic crimes, corporate compliance activities and the regulation of new digital technologies.
The course’s topics are divided into three sections:
- brief introduction into the law and operation of the European Union – historical and economic background, as well as institutional framework, legal order, sources of law;
- economic law and policy in domestic matters – the rules and operation of the internal market, based on the free movement of persons, goods, services and capital;
- economic crimes in a wider sense, corporate compliance activities, new digital technologies and the law.

More information is available on the following website by searching for the course code: https://edu.gtk.bme.hu/local/tad/view.php?lang=en

More information is available on the following website by searching for the course code: https://edu.gtk.bme.hu/local/tad/view.php?lang=en

https://portal.vik.bme.hu/english/students/subjects/VIVEMB05/en/
This course is intended to provide basic theoretical and practical training on electricity markets that have already fully integrated with the operation of power systems. The course introduces the power market participants, stakeholders, their connections and interactions, along with market structures, the necessary legal, technical, economical aspects, investment incentive schemes as well as the tradable products and services connected to electricity supply. Through the examples cited from European power markets the obtained knowledge about the methods, principles and mechanisms used in electricity trading and throughout the power markets creates a possibility for the students to join the workforce of an electricity trading company or a market oriented supplier, network or system operator.

https://portal.vik.bme.hu/english/students/subjects/VIVEAC11/en/
The aim is to provide knowledge about the components of the electric power network, construction of the equipent, their role and requirements, and the most important physical phenomena. The calculations consist of practical cases of the above.

https://portal.vik.bme.hu/english/students/subjects/VIVEMA19/en/
Electrical insulation technology is one of the classical branches of electrical engineering. However, in the 21st century, the progress of the field is accelerating, as most applications require insulation and insulating materials that are increasingly resistant to special stresses. In response to these challenges, special polymers, their composites, and nanocomposite polymers have emerged, as it has been found that adding nanoparticles can further enhance the beneficial properties of polymers. In this course, the electrical phenomena are introduced to the electrical in electrical insulating materials and insulations. The phenomenon of dielectric polarisation in different materials and the basics of the elementary processes will be reviewed. The electrical discharges and breakdown processes in different states of matter are presented. For both discharge and dielectric processes, the practical implications are presented in areas of electrical engineering where insulations are subjected to extreme electrical and environmental stresses.

https://portal.vik.bme.hu/english/students/subjects/VIVEAC10/en/
The purpose of the course is to teach the essential professional knowledge related to the topic of electric rotating machines and drives, which are necessary for electrical engineering students studying the Sustainable Electric Power Engineering specialization and who intend to work in this field later on. Through the study of operating conditions, the course presents the modelling and calculation methods used in practice, and also conveys comprehensive professional knowledge related to the operation of electric rotary machine systems. It discusses typical and modern applications as well as future ones. It provides a theoretical and practical foundation for those who continue their studies in this field in MSc courses. Its purpose is to learn the basic principles of electromechanical energy conversion, the construction and operation of the most important types of electric rotary machines, their equivalent circuits, and their electrical and mechanical characteristic curves; examination of the steady-state operation of three-phase machines in the case of symmetrical and asymmetrical power supply; presentation of the basics of space vector methods and the basics and typical applications of electric drive technology.

https://portal.vik.bme.hu/kepzes/targyak/VIAUAC11/en/

https://portal.vik.bme.hu/english/students/subjects/VIETAB01/en/

https://portal.vik.bme.hu/english/students/subjects/VIVEAB02/en/
The students should acquire basic knowledge related to the topic of electrotechnics. It lays the foundation for the Electric Power Engineering subject and at the same time a theoretical and practical foundation for those who continue their studies on the Sustainable Electric Power Engineering specialization.
They will achieve all of this through the transfer of the following knowledge:
Basics of electrotechnics. Calculation methods used in electrotechnical practice. Application of the presented methods by solving practical examples. Operation of single- and three-phase transformers, basic methods suitable for testing their operation in symmetrical steady state. Based on the knowledge of the magnetic field of the basic electromechanical converters, the acquisition of their operating principles. Basics of power electronics and electric drive technology. Programs simulating the operation of electric circuits, machines, power electronic units, with application examples. Environmental aspects of electrotechnics, basics of electromagnetic compatibility. Electrical safety technology and protection against electric shock. Basic methods and devices for electrical energy storage. Current and future essential applications of electrotechnics.

The main goal is to provide a basic knowledge about the UV, IR, MS and NMR spectroscopic methods used in organic chemistry. The course will be of interest to chemists and analysts in research and industry, especially those engaged in the synthesis and analysis of organic com-pounds including drugs, drug intermediates, agrochemicals, polymers and dyes.
Introduction
The strategy of structure determination of the organic compounds. Basic conceptions of organic structures (configuration, conformation, isomerism, tautomerism, rate processes). Organic microanalysis. Methods to determine the carbon, hydrogen and nitrogen content of the samples. Determination of the sulphur and halogen content. Qualitative and quantitative analysis of some important functional groups.
UV spectroscopy
Electronic structure of the molecules, atomic and molecular orbitals, orbital symmetry, Electronic transitions, and selection rules. Band structures. Chromophores and auxochromic groups. Discussion of some simple chromophores. Conjugation, the Woodward-Fieser rules.
Substituent, solvent and steric effects, Polyenes, aromatic and heteroaromatic structures.
IR spectroscopy
Molecular vibrations, the vibrational and vibrational-rotational spectrum. The two-atomic model, the harmonic and nonharmonic vibrations. Characteristic vibrational frequencies. The correlation between the IR and Raman spectroscopy. Stretching and bending frequencies.
The impact of the structural effects modifying the vibrational frequencies: inductive and mesomeric effects, hyperconjugation, ring strain, steric and isotope effects. Characteristic frequencies of carbonyl compounds, alcohols, amines, nitro compounds, etc. The measurement of the infrared spectra. Sample preparation. The Fourier-transform infrared spectrophotometer.
Mass spectroscopy
The mass spectrometer. Ionization methods (EI, CI, APCI, ESI, MALDI). Isotopes. Ion separation and detection methods. The coupling of the mass spectrometer (GC-MS, HPLC-MS, MS/MS). The importance of the molecule and base peak. Ion chemistry: fragmentation and rearrangement. The most important processes: alpha cleavage, onium reaction, allyl and benzyl-cleavage, McLafferty rearrangement, retro Diels-Alder reaction. Typical fragmentations and rearrangements of organic molecules. Application of isotope abundance determination: halogen compounds.
Nuclear magnetic resonance (NMR) spectroscopy
The nuclear spin. Nuclear spins in magnetic field: the Bloch equations. The measurement of the NMR spectra: CW and PFT. Spectral aquisition. 1H and 13C-NMR spectroscopy. The basic NMR parameters: the chemical shift, the coupling constant. 1H-NMR: Multiplicity and intensity of the signals. The inductive effect, diamagnetic anisotropy, ring currents. Empirical calculation of the chemical shift. The Karplus-curve. 13C-NMR: broadband decoupling, gated decupling. Spectral editing methods: the DEPT and the APT experiments.

https://portal.vik.bme.hu/english/students/subjects/VIMIMA22/en/

Energy and energy production are of increasing importance in both the economy and the environment, so students need to have adequate knowledge of each mode of energy production to be able to select the right solution to a given problem and integrate the right design into a given system. During the course, students will be introduced to various cooling techniques, heat pump systems, gasification, and modern combustion techniques, power plant steam and gas turbines, solar panels, and fuel cells. 
https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEENBGEB

The aim of the course is to discuss measurement procedures and available measurement methods. It places emphasis on learning about temperature measurement methods and designing them in different environments. In addition to temperature measurement, pressure transducers are also discussed, as they are the second most important equipment by means of energy production. The aim of the measurement methods is the practical application of the basics thermodynamic and heat transfer learned in theory. One of the cornerstones of the subject is the calibration of the sensors, the estimation of their uncertainty, which is recommended to be determined for each measurement. 
https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEENBGEK

The concepts of energy, energy production and the environment, and the relationship between energy production and the environment. Characteristics, role and processing of conventional and alternative fossil fuels for energy production. Use of fossil fuels, thermal power plants, engines, propulsion, other thermal power plant concepts. Efficiency improvement potentials of fossil technologies. Fossil energy related emissions, pollutant management, emission reduction, water treatment and wastewater related to energy production. Current and future technologies for nuclear power generation. Environmental impacts of nuclear power generation, waste management. Types and definitions of renewable energy sources. Solar energy potential, solar collectors, semiconductors. Wind and hydropower potential, geothermal energy. Climate change and the energy sector, current and future opportunities for mobility. Energy storage and transport issues and options, battery technologies and environmental impacts. Prospects and trends in the energy sector in Hungary and the world.

The goal of the subject, that the studnets get familiar with the physical properties of the main type of rocks. It is introducing to the students the most common types of landslide problems, their solutions, the risk analysis in the field of engineering geology, the importance of the in-situ stresses in the rock mechanical design. The students get to know the theoretical background of the rock mass classification systems, the relations between the different rock mass classification systems. They learn to use these systems for rock engineering design in normal and weak rock masses. With the completion of the subject they learn to use the introduced design methods and monitoring through examples.

Engineer as a leader (situations and solution): role of informaticians and electrical engineers in the information based society. General trends, business models and the development of value chains. Leader roles, leader tasks and situations. Management of IT based, communication related and business functions in a company. Complex engineering methods in the information transmission and processing, technological and economical optimization of the related processes. Management problems of resource and time allocation, task distribution and scheduling, and workforce placement. Decision preparation techniques: statistical and heuristics based methodologies.Innovation management: tools of innovation management, institutions of innovation management, funding models and typical calls for applications. Organizations of scientific research and technology development, business models of spin-off companies. Conception of technological visions about the future, ways to identify technological breakthroughs, management of generation changes. The process of standardization, its organization and its consequences on technological markets. Intellectual property rights during the innovation process: protection of technical creations, neighboring rights, protection of databases. New trends in IP rights: free software licensing models. Processes of product development and product introduction to the market, market study and marketing methodology. The role of IT technologies in the product and business development, their contribution to the value creation.https://portal.vik.bme.hu/kepzes/targyak/VITMAK47/en/

In the framework of the subject, the students acquire the technical thermodynamic knowledge that forms the physical basis of energy conversion technologies. They become familiar with the conceptual system and terminology of thermodynamics. They apply the principles of thermodynamics, medium and process models to equipment, machines and processes that are common in practice. In addition to imparting knowledge that can be used directly on the labor market, the subject prepares the foundations for later studies, such as, but not limited to, thermal energy machines, flow technology machines, energy conversion technologies, energy, etc. 
https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEENBGTD
Die Studierenden erwerben grundlegendes thermodynamisches Fachwissen, das die physikalische Basis moderner Energieumwandlungstechnologien bildet. Sie lernen die wichtigsten Begriffe und Prinzipien der Thermodynamik kennen und wenden diese auf praxisnahe Geräte, Maschinen und Prozesse an. Das Fach vermittelt sowohl arbeitsmarktrelevantes Wissen als auch Grundlagen für weiterführende Studien in Bereichen wie Wärmekraftmaschinen, Strömungstechnik und Energietechnologien. 

The subject is designed to develop students who are studying or will be studying in the target language at a Hungarian or foreign university. The main aim of the subject is to develop the language skills that are specific to the use of the language in the context of studies. After completing the subject, the students will be able to follow professional lectures, take notes and write summaries. They know the main strategies for reading a professional text.The students know the linguistic features of polite professional communication (e.g. correspondence with a teacher), can give feedback and suggestions in professional conversations. They can participate in discussions related to studies.Completion requirement: active participation in class (30% absence allowed) and completion of assignments and/or tests during the term.

The aim of the course is to acquaint students with the environmental aspects of geotechnics and to develop skills in sustainable and environmentally conscious design. Students will learn about the environmental impacts of geotechnical tasks, the evolution of the mechanical properties of contaminated soils, and will acquire the fundamental principles of soil chemistry. Recycled materials applicable in geotechnics will be introduced.Within the framework of the course, special emphasis is placed on understanding the geotechnical issues related to waste landfills—from site selection and insulating materials to stability concerns. The goal is for students to learn about the operation of waste landfills under field conditions and to acquire the necessary design and operational engineering tasks.In designing and executing geotechnical tasks, students will also learn the properties, sizing principles, and areas of application of geomaterials, which are increasingly used.During the project task included in the course, students’ digital skills will further develop as they build upon previously acquired knowledge.

The aim of the course is to acquaint students with the theoretical and practical application of environmental economics, sustainability, and the European Union and Hungarian system of environmental regulation policy.
1.
The characteristics of contemporary environmental problems /complexity and globality/, the need for their "treatment", essential techniques and methods (small-regional environmental crisis management, regional economic-ecological correlations)
2.
The specific form of movement of natural and economic systems, the open chains of the economy and the possibilities of closing them.
3.
The contemporary characteristics of the relationship between the environment and the economy, the previous global strategies and their criticism. Concept, levels, dimensions and indicators of sustainable development. Environmental economic criticism of traditional macroeconomic indicators, shortcomings of GDP-type indicators. Presentation and critical analysis of the new type of macroeconomic indicators.
4.
Possible methods of economic evaluation of the environment, methods from an environmental point of view of products-technologies-processes, life cycle from an environmental point of view of products-technologies-processes (LCA analysis). Grouping of metrics (indicators), PSR and DPSIR models.
5.
Interpretation of the concept of externalities in environmental economics, grouping of external effects. Characteristics of environmental processes (referring to infrastructure planning).
6.
The Pareto optimum, the optimal level of externalities. Environmental damage, environmental protection costs (case study).
7.
Pollution chain model (typification of damage – intervention options).
8.
The necessity of environmental regulation /internalization of externalities/ and its appearance in economic theories /Pigou tax or support, illustration of the Coase theorem, its shortcomings/. The possibility of complex technical-economic regulation of the management of externalities (industry case study).
9.
The purpose, system and most important tools of environmental regulation, with particular regard to the connections between direct, economic and management type regulation. Contemporary domestic and international - primarily European Union - practice of environmental regulation.
10.
Basic principles, characteristics, essential techniques and methods of environmental management (e.g. eco-marketing)

The aim of the course is to provide knowledge to students about the theoretical background, methods as well as Hungarian and international experiences of environmental valuation and the theoretical background, main fields and measures of environmental risk management.
1.
Evaluation and monetary valuation methods. Environmental impact assessment and its limitations. Ecological footprint calculation
2.
Advantages and areas of application of monetary valuation. WTP and WTA. Ecosystem services. Criticism of evaluation
3.
Weak and strong sustainability and environmental assessment. Ex ante and ex post evaluation. The total economic value. Why special methods are needed
4.
The social discount rate. Cost-benefit and cost-effectiveness analysis. Project evaluation.
5.
Cost-based methods 1. Cost-based methods 2. Case studies
6.
The declared preference methods 1. The travel cost method
7.
The declared preference methods 2. The hedonic price method, the hedonic wage method
8.
Cost-benefit analysis and externalities in the transport sector
9.
The revealed preference methods 1. Preparation of a questionnaire, steps of conditional evaluation
10.
Revealed preference methods 2. Case studies
11.
Relationship between environmental assessment and risk management. Concept and types of risk

The aim of the course is for students to provide a comprehensive understanding of the most pressing sustainability-related challenges and explore pathways leading to the creation of effective technical and managerial solutions. By integrating the principles and mindset of sustainable development into engineering training, the subject fosters a modern and responsible way of thinking that is essential for future engineering practices. Moreover, the course will enable students to apply sustainability principles across various business functions. Students will be able to understand how to embed sustainability goals into business strategies and operations.
Lecture topics
1.
Environmental trends and the economic framework
2.
Environmental risks and assessment
3.
Corporate environmental strategy
4.
Approaches to environmental protection
5.
Environmental management systems (EMS)
6.
Environmental performance evaluation
7.
The use of environmental indicators
8.
Framework of corporate social responsibility (CSR)
9.
Environmental marketing
10.
Sustainable consumer behavior and lifestyle
11.
Sustainable business models

The aim of the course is for students participating in the mechanical engineering course to get a comprehensive picture of the most pressing current sustainability related problems and the path leading to the creation of specific technical solutions for them. By integrating the ideology and thinking of sustainable development into engineering training, those who complete the subject have a modern way of thinking, which is essential for future engineering work.
Introduction, description of requirements. Basics of environmental management, connection to mechanical engineering studies. The environmental crisis. Reasons, driving forces, trends, economic actors. The economic/environmental economics foundations of sustainability. Management of market failures - environmental policy instruments. Basics of resource management. Indicators describing development, footprint-type indicators, environmental performance evaluation. Environmental factors and effects, the basics of industrial ecology. The concept of environmental risk and eco-design. LCA. ISO 14001, EMAS. Auditing, eco-labelling and sustainable consumption. Environmental conflicts and their corporate management. Climate change and energy management. The relationship between companies and climate change. 

Environmental toxicology as part of the risk-based environmental management plays an increasingly important role. The main aim of the subject is to give an overview on the effect-based tools of the modern environmental risk management. The course covers both the theoretical background and the detailed practical aspects of environmental toxicology together with its applications in the risk assessment, risk management and in the environmental decision making.
Theory
The role of environmental toxicology, environmental toxicology in risk-based environmental management, the basics of environmental toxicology, the effects of toxic substances and the measurement of the effects.
Classification of environmental toxicity methods: generally applicable methods to water, soil, sediment, methods suitable to pure chemical substances, test organisms, measurement and study endpoints for measurement of the effects and chemical substances and contaminated environmental elements.
Studying of the interaction between chemical substances and the environment, measurement of the actual toxicity of chemical substances, selection of test methods suitable for the environmental problem, test battery for integrated monitoring.
Detailed description of ecotoxicity test methods applied to water, sediment and soil. Single species ecotoxicity tests with bacterial, plant, animal test organisms.
Multispecies environmental toxicity methods: microcosm, mesocosm tests, field studies. Genotoxicity and mutagenicity studies. Innovative and alternative environmental toxicity test methods replacing animal testing.
Evaluation, interpretation and utilisation of environmental toxicity results in the integrated assessment of contaminated sites, in integrated environmental monitoring, in the general risk assessment of chemical substances, in the derivation of environmental quality criteria and limit values, in the local and site specific risk assessment of contaminated sites and generally in environmental management.
The concept and methodology of environmental and human health risk assessment of chemical substances. Environmental risk assessment of contaminated sites: methods, examples, case studies.
Laboratory practice
The students will learn about five various topics within the laboratory practice of this main subject.
1. Environmental toxicity test methods with aquatic test organisms. We may test the adverse effects of chemical substances on the water ecosystem with test organisms from various trophic levels. The most common test methods include: alga test, single cell animal (pl. Tetrahymena pyriformis) test, plant test (ex. tiny duckweed), animal test (ex. fresh water shell-covered crustacean (Ostracoda), water flea).
2. Respiration measurement of soil microflora in a dynamic and a static system. The activity of soil microflora can be studied by measurement of the amount of CO2produced by soil microbes in a dynamic (ventilated) and static (closed bottle test) system. The methods are suitable for monitoring of bioremediation.
3. Microbiological studies of soil hygiene. Soil microorganisms are involved in numerous essential processes. There are various techniques for their quantitative and qualitative study.
4.Aliivibrio fischeri bioluminescence inhibition test. Aliivibrio fischeriis a marine bacterium, which emits light under favourable conditions. Light emission is inhibited in the presence of toxic substances, which can be detected by luminometer
5. Plant germination and Collembola mortality test. Terrestrial plants represent one of the most important trophic level, the producers. They can be used for ecotoxicity testing of both waters and soils polluted with toxic substances. Folsomia candia (Collembola), the ancient springtails insect can be used for testing of soils polluted with organic contaminants.

TAD (English): https://edu.gtk.bme.hu/local/tad/tad.php?id=522 

BME GPK TAD

In the course, students will get know the modern methods and instruments of state and movement studies of civil engineering structures.The senior student uses the basic knowledge learned in previous surveying subjects within a complex civil engineering task. Solving these tasks, the student recognizes the relationship and context between surveying and other subjects.

The aim of the course is that the student acquires the techniques used in engineering practice in connection with the engineering problem that fits into the Bachelor program / specialization training program within the framework of the thesis and acquires independent problem-solving practice. During the preparation of the thesis, the student demonstrates maturity for solving engineering tasks to a high standard by solving and documenting tasks related to various topics. During the preparation of the thesis, the student performs independent engineering work under the guidance of the supervisor of the department - sometimes his / her internal / external consultant - in an individual consultation system, which is coordinated by the supervisor.

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEENBKSD

https://edu.gtk.bme.hu/local/tad/tad.php?id=1997&lang=en

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEVGNX27

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEVGBG13 

Students will acquire knowledge related to the flow, knowledge and description of liquid / gaseous media that is important for technical application. Building on these, it introduces students to solving technical tasks related to the flow of media through laboratory and classroom exercises. Particular emphasis will be placed on measurement techniques related to flow measurement, flow processes in machines, equipment and pipelines. Students report on the acquisition of theoretical knowledge and their skills in its practical application in the mid-term practical problem-solving and applied theoretical dissertations, as well as in laboratory measurements. The course prepares students to recognize and solve flow problems in their engineering work, and enables them to take on more complex tasks based on the acquired knowledge through self-study.

Students will acquire knowledge related to the flow, knowledge and description of liquid and gaseous media that is important for technical applications. Using laboratory sessions and classroom seminars with problem-solving exercises, the course introduces students to solving engineering tasks related to the fluids engineering. Particular emphasis will be placed on knowledge of measurement techniques related to the fluid mechanics measurement, flow processes in machines, equipment, and channels/pipelines. Students gain skills in recognizing and solving frequent problems in their engineering work during the mid-semester practical problem-solving problems and applied theoretical tasks, as well as in acquiring theoretical knowledge in laboratory measurements and their practical application. Based on the acquired knowledge, they can undertake to solve more complex tasks through self-education.

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEATPHDKVA1-01

Form and Composition 1 is the first course in the academic unit extending over four semesters, titled
'Studio of Architectonic Thinking' The course aims to provide students with guidance:
- from the aspect of forms: to the exploration of the interconnections among perpendicular and nonperpendicular,
planar and spatial compositions based on the line (either straight or curved) as
fundamental structural and geometrical component, and to the creation of such compositions in plane
and space.
- from the aspect of composition: to grasp the possibilities, fundamental concepts and operations of
linear compositions in plane and space;
- from the aspect of colour theory: to understand grayscale and coloured monochromaticity, the
different monochromatic colour scales of the colour plane, and the context and aesthetic content of
colours and the various colour systems;
- from a technical aspect: to the basic steps of preparing hand-drawn linear, structured drawings, colour
paintings as well as manual collages, scale models, digital images and 3D models;
- and from the aspect of visual communication: the various potentials and essential functions of pi
graphics, image manipulation, and the basic techniques of digital collage, photo montage, typography
and infographics.
Projects of the semester include instructor-assisted and supervised individual and group works.

Form and Composition 3 is the third course in the academic unit extending over four semesters, titled
'Studio of Architectonic Thinking'. The course aims to provide students with guidance:
- from the aspect of forms: to the potential principles of architectonic shaping, form-finding and form
research based on the mass (spatial form, shape) as fundamental structural and geometrical component
in perpendicular, non-perpendicular and curved configurations;
- from the aspect of composition: to grasp the possibilities, fundamental concepts and operations of
volumetric compositions; the compositional principles of surface partitioning of volumetric forms and
the visual compositional guidelines of orthogonal imagery;
- from the aspect of colour theory: to the application of colours in their most commonly used saturation,
triad and quadriad colour harmonies, the aesthetics of realistic visualization (surface textures &
factures) and its application possibilities in digital collage
- from a technical aspect: to digital or hybrid graphical techniques, and a more advanced level of
creating quality manual or digital scale models.
- and from the aspect of visual communication: to an advanced use of raster graphics and realistic
visualization or (matching to scale) abstraction of the characteristics of light and materials.
Projects of the semester include instructor-assisted and supervised individual and small-group works.

The scope of the subject is to teach the students the basics of building foundations, construction pit shoring and dewatering. The student shall be familiar with the classification and types of foundations. He/she shall be familiar with ultimate limit states and serviceability limit states associated with shallow foundations, with basic sizing methods to determine the foundation geometry, with calculation methods of stresses and settlements below foundations, with the measurements and tolerance against differential settlement of buildings, as well as with the sources of harmful settlements. Furthermore, the types, technologies and applicability limits of deep foundations, construction pit shoring and dewatering will be presented.

https://portal.vik.bme.hu/kepzes/targyak/VISZAA07/en/

https://edu.gtk.bme.hu/local/tad/tad.php?id=1500&lang=en

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEGIBXGA
To acquaint students with the standardized “international language” of technical communication, the most important rules of 2D technical representation. After reviewing the descriptive geometric bases, present and practice the standard 2D representation and drawing sizing of 3D products, the most typical standard elements, screw connections, torque transmissions, component connections, tolerances and fits, as well as free-form design to be recognized in product modeling and using drawing techniques. Providing students with basic knowledge for reading data appearing in drawing form in other technical subjects and for construction and editing tasks independently. 

The course starts with two introductory lectures: the first one summarizes the physics basis needed to understand the criteria for fusion energy producing devices, while the second reviews the main elements of fusion technology and their functions. This is followed by two lectures of introduction to stellarator technology through the German stellarator program, and three leactures dealing with the past, present and future of tokamaks. Spherical tokamaks are discussed in a separate lecture followed by lectures introducing the most important milestones of German, US and Japanese fusion programs. The last lecture presents the rapidly expanding Far-East fusion programs in the context of the history of superconducting tokamaks.

The aim of the course is to introduce students to the gas dynamics processes occurring in high-velocity gas flow. Students will learn the classical mathematical description and calculation methods of emerging wave phenomena, boundary layers, and thermal processes associated with transonic and supersonic flow around the speed of sound. By understanding gas dynamic phenomena, students will be able to recognize how critical flow conditions affect the operation of flow systems and how their adverse effects can be avoided.

Get a basic overwiew of the principles of Chemistry, providing an introductory informations, including definitions etc. to be used in later specific subjects. The course consists of three parts. In the first one the macroscopic properties of the matter is discussed, including phase transitions. In the second part basic chemical priciples as acid-base, redox processes, chemical equlibria, electrochemistry and chemical kinetics will be covered briefly. In the third part the aromic and molecular structure, the chemical bonding and the rules in the periodic table is discussed.
Expression for the composition of solutions and their applications. Operations with solutions, crystallization, recrystallization.
Gases. Properties of gases. Equation of state for ideal gas, and its versions. Boyle’s law, Charles’ laws. Gay-Lussac’s law.
Mixtures of gases, their compositions. Partial pressure, and volume. Dalton’s rule and Amagat’s rule. Vapor pressure.
Colligative properties of dilute solutions. Vapor pressure lowering, boiling-point elevation, and freezing-point depression, osmosis.
Balancing equations. Oxidation numbers, redox equations.
Stoichiometry and its applications. Yield. Avogadro’s law. Calculation of titration.
Basic terms in thermochemistry. Energy, heat and enthalpy. Heat capacity, molar heat capacity.
The heat of reactions and Hess' law.
General description of chemical equilibria. Various forms of equilibrium constants and their connections.
Application of LeChatelier's principle. The shift in the equilibrium composition by the change in the amount of reactants, in the pressure, and in the temperature. Heterogeneous equilibria.
Acid-base equilibria, pH of solutions:
-Strong acids and bases;
-Weak acids and bases;
-Hydrolysis of salts;
-Buffers and buffer capacities
Solubility equilibria: solubility product and its applications, common ion effect; speciation effect; temperature effect.
Electrochemisty:
-Electrolyte solutions. Electrical resistance and conductivity of dilute solutions;
-Electrolysis;
-Electrode potentials: standard hydrogen electrode, simple metal electrodes, redox electrodes,metal-insoluble salt electrodes, gas electrodes
-Composition dependence of electrode potentials in various electrode types: Nernst equation.
-Electrochemical cells, cell diagrams, cell reactions, half-cell reactions. Electromotive force.
-Basic terms in electrochemistry, direction of electrochemical processes.

The aim of the subject is to increase the knowledge of the freshman students on chemical calculations to the level, which provides competent basis for further chemical and technological disciplines (inorganic chemistry, organic chemistry, physical chemistry, unit operation, chemical technology etc.). The practice is held in small groups, depending on the former skills of the students.
Expression for the composition of solutions and their applications. Operations with solutions, crystallization, recrystallization.
Gases. Properties of gases. Equation of state for ideal gas, and its versions. Boyle’s law, Charles’ laws. Gay-Lussac’s law.
Mixtures of gases, their compositions. Partial pressure, and volume. Dalton’s rule and Amagat’s rule. Vapor pressure.
Colligative properties of dilute solutions. Vapor pressure lowering, boiling-point elevation, and freezing-point depression, osmosis.
Balancing equations. Oxidation numbers, redox equations.
Stoichiometry and its applications. Yield. Avogadro’s law. Calculation of titration.
Basic terms in thermochemistry. Energy, heat and enthalpy. Heat capacity, molar heat capacity.
The heat of reactions and Hess' law.
General description of chemical equilibria. Various forms of equilibrium constants and their connections.
Application of LeChatelier's principle. The shift in the equilibrium composition by the change in the amount of reactants, in the pressure, and in the temperature. Heterogeneous equilibria.
Acid-base equilibria, pH of solutions:
-Strong acids and bases;
-Weak acids and bases;
-Hydrolysis of salts;
-Buffers and buffer capacities
Solubility equilibria: solubility product and its applications, common ion effect; speciation effect; temperature effect.
Electrochemisty:
-Electrolyte solutions. Electrical resistance and conductivity of dilute solutions;
-Electrolysis;
-Electrode potentials: standard hydrogen electrode, simple metal electrodes, redox electrodes,metal-insoluble salt electrodes, gas electrodes
-Composition dependence of electrode potentials in various electrode types: Nernst equation.
-Electrochemical cells, cell diagrams, cell reactions, half-cell reactions. Electromotive force.
-Basic terms in electrochemistry, direction of electrochemical processes.

The aim of the course is to equip students with the geological knowledge required for civil engineering design, construction, and research, with particular consideration of sustainability aspects. The course presents the geological factors that influence the selection of construction sites, the design of engineering structures, and their long-term preservation.In addition to introducing the process of geological data acquisition, the course covers the structure and dynamics of the Earth, and the characteristics of the Earth’s crust materials—namely minerals and rocks, including igneous, sedimentary, and metamorphic rocks. Special emphasis is placed on the analysis of surface processes, such as earthquakes and volcanism, as well as the characterization of surface movements and surface and groundwater systems.The course also introduces the fundamentals of environmental geology and examines the interactions between the geological environment and engineering structures.Educational Purpose:To expand the natural science knowledge of engineering students and to build connections between natural sciences and engineering disciplines.

The aim of the course is that the students get to know the use of numerical methods that aid the geotechnical and engineering geological design. The students get familiar with the advantages and disadvantages of analytical methods and applications of finite element methods to geotechnical and engineering geological problems by using different commercially available software. The students get to know the special elements and material models that are typically used in case of FE modelling of geotechnical problems. The students get to know the most frequently used rock mechanical methods for modelling fractured rocks.

The aim of the course is to introduce the students to the equipment implementing the thermodynamic cycles and the real processes taking place in them. The basic knowledge of combustion technology required to understand these is also passed on, so that some of the problems in everyday life can be easily understood (eg fire for grilling, operation of a domestic boiler, air conditioning, heat pump heating, operation of internal combustion engines, air pollution). 
https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEENBGHG

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEVGNX26

https://portal.vik.bme.hu/english/students/subjects/VIHVAC08/en/

During the course, the student learns the structure of highway infrastructure management systems, functioning and applicability. The student gains insight into road track structure diagnostics the principle of operation of the equipment and the course of the measurements, the means of evaluating them, as well as the use of data obtained during the measurements in the preparation of track management strategies.

The aim of the course is to provide the student with the theoretical and practical basics of road design for external and internal areas: the design and coordination of site-planning and longitudinal-planning elements, the technical and technical aspects of each design phase the technical content of the design and the design timeframes, drainage design, environmental design, asphalt road structures design and reinforcement of asphalt pavements, the design of suburban junctions, the calculation of the environmental impact of road traffic, and the integrated planning projects involving several transport modes.

To get to know the role of rail and road transport, the planning and decision-making process for infrastructure investment, basic principles of alignment design, operation, and control. In addition, students can deepen their understanding in practice from the concrete cases.

The aim of the subject in the field of road structures is to acquire the knowledge necessary for the planning and dimensioning of asphalt and concrete pavement structures. On the topic of railway track structures: the function, design , load transfer and the most important technical solutions of certain elements of railway track structures.

The architecture of the Late Roman Empire. The born of Christianity and its „Necessity architecture”. The born of the monumental Christian architecture – Early Christian architecture in Rome. – Early Christian architecture in the eastern Provinces: Palestine, North Africa, Syria – Late Roman and Oriental traditions. Early Byzantine architecture in Thessalonica and in Constantinople. Load bearing structures of the Early Christian period. Different types of barrel vaults, Roman-type cross vault. – Syrian influences in Armenia. The „Iconoclasm” and the aftermath in Greece. Architecture in the radius of influence of Byzantium. The comparison of the basilicas in Rome and in Syria. – Ravenna. The penetration of Christian architecture into barbarian Europe – „Scattered monuments”. Byzantine vaulting systems. The main stream of the Romanesque architecture: the Carolingian architecture with the „evangelizer” Benedictine movements, the three periods of the German-Roman Empire. The Langobard architecture in North-Italy. The Romanesque vaulting systems: Romanesque cross vault, Sexpartite vaulting, „groin-rib” vaulting. Squire-bayed and free vaulting systems – the pointed arch. Basilica and „false basilica” type space organization. – The retrospective interregional influences in Romanesque architecture. – Antique influences. Byzantine influences. The progressive interregional influences in Romanesque architecture – monastic movements: Benedictine and Cistercian, Norman „Imperial” Romanesque architecture. Morphology of medieval detailing. The Early French Gothic cathedrals. – The flourishing period of the French cathedrals, and its influences in South-France, in England, in Germany and in Italy. Interregional influences in gothic architecture: Cistercian gothic formations, the Franciscan and Dominican movements. – The special characteristics of English and German gothic architecture. Late gothic vaulting systems: Cylindrical (or net vaults) and Spherical (or stellar) vaults. Halls and false-halls – Civic movements in Late Gothic in Germany and the proto-renaissance in Italy. Medieval secular architecture.

The period of this History of Architecture subject is the “long nineteenth century” from the 1750s to the 1910s. In this era the architecture and the art turned to the past, to the previous styles using them in a new approach. The architects had discovered the history of art and artistic liberty at the same time. At the turn of the 20th century the art and also the architecture searched for new ways instead of using historical architectural elements or motifs. The changes led to the Modern Movement when buildings were being erected without decoration or ornaments in the first quarter of the 20th century.This period was divided into different eras, but these types of periodization were different in different countries and changed in the course of the 20th century. Beside the question of styles 19th century is important not only because of the appearing of new structures and materials in the architecture but because of the great development in the field of the functional planning. While following the timeline, the classes concentrate on the development of the styles in several areas of Europe (Great Britain, France, Germany, Russia) looking out to the United States of America too, because there the styles reflected the European ones.

The course gives an overview of the architecture in Hungary from classical Antiquity up to now. While following the timeline, the classes concentrate on the main problems of the investigated periods, like the essential building types, the character of the styles, like the question of historicism, international and national sources between the 2 Wars, modernism, socialist realism in the 1950s, technology, and high-rise in the 1960s, built environment in the 1970s, post-modernism in the 1980s. As the problem of identity (national or regional architecture) is a recurrent theme, the course pays special attention to it.

TAD (English): https://edu.gtk.bme.hu/local/tad/tad.php?id=1413 

The subject History of Theory of Architecture I. follows the structure of preliminary architectural history courses focusing on the determinant theories of architecture of different periods. The exploration of the most important tendencies and notions of theory of architecture is based on the preliminary history of architecture studies in an essentially chronological structure, evaluating them in critical analysis and searching their role in the history of ideas. Lecture topics include: Categories and concepts of theory in the history of architecture from antiquity to the raise of modernism in the beginning of the 20th century. Vitruvius and his interpretations. Architectural theory in the Middle Ages from early Christianity to late Gothic period. Humanism and the revival of antique architecture in the 15th. The column orders and commentaries on Vitruvius; the theory of the ideal city. Baroque in the reform of the catholic church. Academic movement in France and Classicism in Italy in the 17th . Theory of architecture in France in the 18th century. Enlightenment and revolutionary architecture. 19th century theories in England, France and Germany; the interpretation of medieval and classical heritage. The dilemma of eclecticism. Pioneers of modernism and their manifests. The pluralism in the interpretation of architectural space; architecture and philosophy.

The aim of the course is to introduce students to the specific formation and development of the Hungarian settlement system through the different historical periods of urban growth. Each era will be presented through the historical and social background, as well as the settlement establishment and development factors, such as the town-forming role of the environment, nationalities, religions and social stratification; and the Soviet influence on town planning. Among other things specific environment-forming activities and morphological, townscape and floor plan characteristics typical of Hungary will be discussed. During the semester, several (invited) lecturers will give presentations on the different topics, enriching the course.Main topics: Geographical features of Hungary, Geography and Urban Space; Urban morphology;Modern recreational architecture on the Balaton Lakeside, Blocks of flats in Budapest, Urban architectural tendency during the State-socialism, Spatial patterns of urban tourism in Budapest; Local knowledge of settlements

The objective of the course is that the student gains experience in solving water damage and water use problems through the preparation of a complex water damage prevention and water use plan, putting into use the methods taught in the prerequisite subjects.

The aim of the course is for students to understand the commonly used terminology in hydraulics and to acquire the fundamental elements and phenomena of hydrostatics, pipe hydraulics, open-channel hydraulics, and seepage hydraulics. The course aims for students to acquire and apply the fundamental principles of mass, energy, and momentum conservation to these processes to solve simple problems in hydraulics.

The objective of the course is that students learn the principles and procedures of using information technology (IT) in the practice of water management. Computational hydraulics and surface waters get central attention. Modelling uncertainties, and procedures of post-processing and analysis associated with modelling are discussed. Other objectives are that the student gain insight into the IT systems underpinning water management in Hungary, applied examples of how data-driven (soft computing) models and optimisation techniques can be used in the water management practice.Our objective is also for the students to improve their practical skills and complex thinking, making them more open to learning new software. The aim is for students to deepen their knowledge of digital technologies during the semester.

The objective of the course is to give an introduction to hydrology within civil engineering, to its sub-disciplines and related fields. The student will learn about the global hydrological cycle, its elements and the estimation of the related fluxes; will master basic concepts in hydrometeorology, such as precipitation, evaporation, infiltration and runoff. He/she will be acquainted with the physical properties of streamflow and descriptors of lakes and groundwater. Will learn about the basic concepts of hydrometry and hydrography and eventually will be able to complete hydrological calculations related to civil engineering design.

This course focuses on probability and statistics, time series and linear models most frequently employed in hydrology. It also covers fundamentals in reservoir design and flood level estimation both in gauged and ungauged basins. Solution of the practical problems with the help of MATLAB will enable one to successfully apply such concepts for water resources management and civil engineering design.

https://portal.vik.bme.hu/kepzes/targyak/VIIIAD01/en/

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEATBSKAROF-01

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEVGBG06
Independent Study 1
BMEGEVGBG06
One-semester long individual project work. 4 hours/4 credits.

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Students may join one of the running research projects of the faculty. During their supervised work they study the present state of the art of the field, do experimental work or modelling and data evaluation. At the end of the semester the results should be summarized in a 2-5 page long report. The subject is worth of 4 credits and requires 4 contact hours/week.

Subject is based on: Fundamentals of statistics:- the more important continuous distributions (normal, t-, F-distributions)-hypothesis testing, one and two samplet-test,F-test, the first and the second kind of errors- design and analysis of full factorial (2p) designs
Aim of the subject: The subject is awareness-raising. It aims to familiarise students with modern data analysis methods used in industrial practice and quality engineering. Emphasis is placed on the selection of the appropriate statistical method to link the professional and the statistical problem and the development of the associated thinking and approach. Students will be introduced to the statistical engineering tools, i.e. analysis of variance, factorial experimental designs and the statistical methods of Six Sigma. Emphasis is placed on learning how to use statistical software in order to facilitate the use of similar software in the future.
https://www.ch.bme.hu/oktatas/targyak/BMEVEKFM111/en/

The aim of the course is to study the basic notions of information technology. Basics of hardware (CPU, memory, mass storage,...), the hardware environment of the Institute. Basics of operating systems: program, process, file, folder, file system of Linux and Windows (bash, mc, Windows Total Commander). Graphic user interface, terminal user interface, bash language. Internet, network, IP address, wifi, Internet security. Data on machine: number representation, character encodings. Computer algebra, symbolic calculation (Sage, Mathematica,...), variable, recursion instead of iterative programming, deepening the secondary school function concept (factorial, Fibonacci sequence, Euclidean algorithm, exponentiation, quick exponentiation...). Programming paradigms in computer algebra languages. HTML, the markup language concept, homepage. CSS, separation of the content and presentation. Editing mathematical text: TeX, LaTeX, mathematics on the web. Presentation of math (beamer). Basic concepts of graphic file formats, graphics in mathematical text (TikZ).

The aim of the course is to provide the student with a comprehensive knowledge of the steel and reinforced concrete structures used in the field of infrastructure construction. The subject covers reinforced concrete and steel structures of hydraulic engineering structures, water and sewage storage and treatment pools and structures, structures on the ground, tunnels, underpasses, and road and railway bridges. The aim of the course is to acquaint students with the structural design, loads and construction issues of the works of art belonging to the above topics.

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEPTBGE2
Objectives: theoretical and practical understanding of the injection molding technology. Knowledge of production engineering and design aspects of modern plastic products. Understanding of the most advanced design and simulation procedures.
Topics: detailed description of the injection molding technology. Analysis of the process cycle diagram. Construction and operation of injection molding machines. Design for injection molding. Materials for injection molding, and fiber reinforced materials. Methods for the identification and elimination of molding defects. Injection mold design and injection molding simulation.

https://portal.vik.bme.hu/english/students/subjects/VIVEAC17/en/
In the 21st century, one of humanity's greatest challenges is ensuring sustainable growth in the face of growing energy demand. Conventional technologies in the field of electricity are slowly reaching their limits, and the use of innovative technologies in the generation, distribution, storage and use of electricity is essential to ensure sustainability. This course presents innovative technologies and solutions in electrical engineering and electricity. Particular attention will be paid to technologies based on dielectric and electrostatic fundamental phenomena, both on the generation and the user side. Technological solutions to extend the lifetime of existing network equipment will be discussed in detail. The physiological effects of electric and magnetic fields and electromagnetic fields related to power engineering are also discussed.

The goals of the course: to develop the IP awareness of the students, to demonstrate the effective usage of the IP information in order to support the literature search activity and to define the monopole IP rights.

The subject is based on the cooperation between the design and engineering Departments of the Faculty of Architecture. Throughout the semester, exchange students work in two different design studios — one on Mondays and Wednesdays, and the other on Tuesdays and Thursdays. Each studio involves two separate projects, each project is mandatory and lasts seven weeks in order to receive credits.

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEENNKSG

This subject introduces all major building construction components (walls, foundations, floors, roofs, skeleton frames, stairs, ramps, doors and windows) and primary building engineering service systems. During lectures, the building is considered as a composition of spaces with different functions, separated by special surfaces. The course aims to introduce and explain the grammar of architectural design through practical tasks, such as the survey of one’s own flat. Concurrently, the basic dependant factors of the creative design process are described. Students are acquanted with technical terminology as well as the role and use of various construction solutions including their classifications. The above shall assist students with both starting independent design exercise work and the continuing of building construction studies in greater detail.

Cultural studies developed at the intersection of a number of different disciplines and theoretical standpoints. The objective of the course is to introduce these theoretical roots and the current approaches, which have developed within the framework of cultural studies. One of the most important elements of the development of approaches within cultural studies is the critical reassessment of the positivist epistemological tradition according to which reality can be experienced and understood in a relatively unproblematic fashion. Another defining element of a large portion of work within cultural studies is its conceptualisation of culture as always political. According to this approach all texts are inherently political as they inevitably bear the marks of structures of power and are at the centre of struggles over meaning and signification. The problematization of knowledge structures and meaning has contributed to opening up the analysis of reading and consumption towards a sensitivity for the possible independent readings and interpretations created by readers, viewers and consumers based on their own social experience, acknowledging the fact that these readers, viewers and consumers are capable of resisting the dominant readings of different texts and can even construct counter-interpretations opposing the dominant ideology from within the very texts aimed at supporting those dominant positions.

Basic numerical algorithms and their implementation in Python language.
Python language summary: data types, functions, file handling. Numpy and scipy packages, basics and function types.Vectors, matrices. Operations among vectors, matrices and scalars: additions, direct, outer, cross products, transpose, inverse, eigen values.Linear system of equation, matrix representation, solution by Gauss elimination, direct and numerical solutions.Non-linear equations and their solution with numerical methods.Error propagation, fitting, interpolation.Solution of ordinary and partial differetial equations.Solution of temporal differential equations sympletic integrators.Partial differential equations and their solution by iteration and analytically.
– Todd J. Basic Numerical Mathematics: Vol. 1: Numerical Analysis. Birkhäuser; 2013 Mar 13. ISBN-13: 978-3034872317
– Wendland, Holger. Numerical linear algebra: an introduction. Vol. 56. Cambridge University Press, 2017. ISBN-13: 978-1316601174
– https://numpy.org/doc/stable/user/quickstart.html

https://portal.vik.bme.hu/kepzes/targyak/VIHIAV06/en/
The quantum mechanics-based algorithms and protocols can play an important role in our nowadays used technical solutions. Quantum computing and quantum communications is no longer belongs to the world of scientific laboratories since more and more products are offered by different companies in the market. This course gives an overview on different areas of quantum computing and communication including qubits, quantum registers, quantum gates and different quantum algorithms (Grover, Deutsch-Jozsa, Shor, etc.) and protocols (including quantum teleportation and quantum key distribution).

http://cs.bme.hu/itc1/

https://edu.gtk.bme.hu/local/tad/tad.php?id=1687&lang=en

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEENNKLC
Aim
The course aims to study the environmental impact of energy production systems. Students learn the basic concepts, standards, most commonly used types and areas of application of life cycle assessment (LCA). In their semester project assignment, students determine the environmental impact of an energy system of their choice using life cycle assessment methodology. Within the framework of their project task, they learn to use the software required for modern life cycle analysis (e.g. openLCA, GaBi, EASETECH). 
Learning outcomes Competences that can be acquired by completing the course
Knowledge
The student is aware of the principles and importance of a life cycle approach. Knows the basic concepts of life cycle assessment (LCA), the most commonly used types and standards. Has comprehensive knowledge of life cycle assessment methodology. The student is informed about the environmental quantities typical of energy production and user (production) facilities. Knows the databases, models and software that can be used during life cycle assessment. Understands the dangers of shifting impacts between different environmental impact categories. The student is aware of the basic environmental mechanisms of different environmental impact categories. Understands the application areas of life cycle assessment and the specifics of each area for LCA. The student is informed about the range, types, and availability of primary and secondary data that can be used in a life cycle assessment. Understands the process of critically reviewing the results of life cycle assessment and the methods of assessing data quality.
Ability
Describes real technology systems with life cycle models. The student is able to assess environmental impacts in multiple ways. The student can identify complex environmental problems, explore, formulate and (using learned practical application) the theoretical and practical background needed to analyze them. The student solves complex, computationally intensive tasks using IT skills. The student can express his or her thoughts orally and in writing. Interprets the results of a life cycle assessment (LCA). Creates the conceptual life cycle model using the appropriate target software. Selects secondary data sources and databases for the life cycle model. Defines the life cycle boundaries of energy systems. Use the life cycle assessment results in the application areas that meet the set goals.
Attitude
The student constantly monitors his or her work, results and conclusions. The student expands his or her knowledge of energy management and sustainability through continuous learning. Open to the use of information technology tools. The student seeks to learn about and routinely use environmental tools needed to solve energy management problems. The student develops the ability to provide accurate and error-free problem solving, engineering precision and accuracy. The student applies energy efficiency, sustainability and environmental awareness in solving life cycle assessment tasks. The student monitors changes in legislation. The student publishes his or her results under professional rules. The student publishes his or her opinions and views without offending others.
Independence and responsibility
Collaborates with the instructor and fellow students to expand knowledge. Accepts well-founded professional and other critical remarks. In some situations, as part of a team, the student works with his or her fellow students to solve tasks. Based on his knowledge and analysis, the student makes a responsible, well-founded decision. The student feels responsible for energy, the problems of energy management and the sustainable use of the environment, and present and future generations. The student is committed to the principles and methods of systematic thinking and problem solving.
Teaching methodology During the teaching of the subject, the lecture and the laboratory practice are separated in terms of content and methodology. The lectures basically introduce students to the information defined by the knowledge competence elements using the technique of frontal education. Lectures include pre-published slide shows so students can add their own notes to the lecture. The lectures and the main (online) available written study materials complement each other and are insufficient to achieve adequate preparation. Independent laboratory practical sessions with a different theme from the lectures and the method of the mirrored classroom promote the application and skill-level acquisition of knowledge. During the laboratory internships, the knowledge previously acquired at home, independently, is solved partly jointly and partly individually with the help of the laboratory internship supervisor. The project task to be prepared in groups of 2-3 people also includes a presentation (life cycle model).

https://portal.vik.bme.hu/kepzes/targyak/VISZMA12/en/

https://edu.gtk.bme.hu/local/tad/tad.php?id=2089&lang=en

https://edu.gtk.bme.hu/
The course is designed for engineering students who would like to have a better conceptual understanding of the role of management. The course introduces the essentials of management functions (planning, organizing, control and leadership) as they are applied within the contemporary work environment. Particular attention is paid to the planning and control function elements within the course.

https://www.kth.bme.hu/document/3117/original/FESS7_24252_v2.pdf

https://edu.gtk.bme.hu/
The course introduces the essentials of management as they apply within the contemporary work environment and gives a conceptual understanding of the role of management in the decision making process. Particular attention is paid to management theories: principles of management, marketing management, quality management, production and project management. For problem formulation, both the managerial interpretation and the mathematical techniques are applied.
Budapest University of Technology and Economics
Faculty of Economic and Social Sciences
Course Syllabus
and Requirements
Management and Business Economics
2.
Course code
Semester
Hours per week
(Theory/Practice)
ECTS credits
Language of Instruction
Level
(BSc/BA/MSc/MA)
BMEGT20A001
fall/spring
4/0
4
Hungarian
BSc/BA
3. Course supervisor (name, title, department):
János Kövesi, dr. Habil, Professor, Department of Management and Business Economics
4. Lecturers:
Name:
Position:
Department/Institute/availability(Room, e-mail address):
Szilvia Bíró-Szigeti, PhD
AssociateProfessor
Dept. of Management and BusinessEconomics, QB305, szigetisz@mvt.bme.hu
János Kövesi
Professor
Dept.of Management and BusinessEconomics, QA315, kovesi@mvt.bme.hu
Noémi Kalló, PhD
Associate Professor
Dept.of Management and BusinessEconomics, QA308, kallo@mvt.bme.hu
Tibor Szabó, PhD
Assistant Professor
Dept.of Management and BusinessEconomics, QA317, tiborszabo@mvt.bme.hu
5. Preliminary knowledge required:
Basic concept of companies and their operation.
6. Academic prerequisites:
-
7. Objectives and description of the course:
The course introduces the essentials of management as they apply within the contemporary work environment and gives a conceptual understanding of the role of management in the decision making process. Particular attention is paid to management theories: principles of management, marketing management, quality management, production and project management. For problem formulation, both the managerial interpretation and the mathematical techniques are applied.
8. Teaching methods:
Lectures.
9. Requirements and assessment:
4 midterm exams have to be taken during the semester. The grade will be determined by the sum of the midterm exams (4x25=100 %), there are no minimum requirements for the individual exams.
10. Exams, make-up duties and make-up exams:
Maximum 3 of the 4 midterm exams can be repeated or make up at the end of the semester. There are no final make-up exams in this course.
11. Office hours:
By making appointment with the lecturers.
12. Course material, compulsory and recommended readings:
Materials provided by the lecturers: www.mvt.bme.hu/segedanyagok
13. Workload and detailed class schedule:
Topics to be discussed, readings required for the class, other assignments
Week 1
Marketing management:Creating Customer Value and Engagement
Week 2
Consumer behaviour, Analyzing the Marketing Environment
Week 3
Market research, Product and brand management
Week 4
Service management, Promotion management
Week 5
Communication management, Online marketing
Week 6
Quality management: Principles of quality management, the brief history of quality management systems
Week 7
Overview of quality assurance systems based on ISO 9001:2000 Quality Management System.
Week 8
Overview of quality assurance systems based on Total Quality Management System.
Week 9
Production-economics: production systems, manufacturing models, product-process matrix.
Week 10
Inventories, inventory control systems, costs of carrying stocks
Week 11
Principles of management: Resources of a firm, firm as an organization.
Week 12
Functions of managerial processes
Week 13
Corporates strategies, Team work, communication in an organization.
Week 14
Repeat of midterms

https://www.kth.bme.hu/document/3117/original/FESS7_24252_v2.pdf

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEGTAG94

https://edu.gtk.bme.hu/
Learning outcomes: After completing the course, the students will be able to understand the role of marketing in an organization. Students will become familiar with marketing tasks, tools and strategies. Through practical work students will be able to elaborate certain marketing topics using the knowledge acquired during lectures.
Content: Introduction to marketing. Creating customer value. Analyzing the marketing environment. Company and marketing strategy. Marketing information and customer insights. Market segmentation and targeting. Positioning. Creating competitive advantage. Consumer markets and buyer behavior. Business markets and business buyer behavior. Products and services. New product development. Designing pricing strategies. Marketing channels. Integrated marketing communication.
Budapest University of Technology and Economics
Faculty of Economic and Social Sciences
Course Syllabus
and requirements
Marketing
2.
Course code
Semester
Hours per week
(Theory/Practice)
ECTS credits
Language of Instruction
Level
(BSc/BA/MSc/MA)
BMEGT20A048
fall
3/1/0
5
English
BSc/BA
3. Course supervisor (name, title, department):
Zsuzsanna Szalkai, PhD, Associate Professor, Department of Management and Business Economics
4. Lecturers:
Name:
Position:
Department/Institute/availability(Room, e-mail address):
Zsuzsanna Szalkai, PhD
Associate Professor
Department of Management and Business Economics, szakaizs@mvt.bme.hu, Room QB304
5. Preliminary knowledge required: -
6. Academic prerequisites: -
7. Objectives and description of the course:
After the course the students understand the role of marketing in an organization. Students get familiar with the marketing tasks, tools and strategies. Through the practical work the student is able to elaborate certain marketing topic using the knowledge acquired on lectures.
8. Teaching methods:
Lectures and seminars
9. Requirements and assessment:
Team project: 20%
Presentation: 10%
Exercises on Seminars: 10%
Team project has two parts: written report and presentation. Students will work in a maximum of 5-member group on a selected market and company.
10. Exams, make-up duties and make-up exams:
Exam: 60%
Final exam in the exam period. Exam can be repeated in the exam period.
Overall assessment:
87-100%:excellent
75-86%: good
63-74%: satisfactory
50-62%: passed
0-49%: failed
11. Office hours:
Wednesday 10.00-12.00 Bld. Q Room B 304
12. Course material, compulsory and recommended readings:
Ph. Kotler, G. Armstrong, J. (2016): Principles of Marketing. 16th Ed. Pearson
Lecture slides
Handouts
13. Workload and detailed class schedule:
Topics to be discussed, readings required for the class, other assignments
Week 1
Introduction to Marketing. Creating Customer Value
Week 2
Analyzing the Marketing Environment. Marketing strategy
Week 3
Marketing Information and Customer Insight
Week 4
Market Segmentation, Targeting and Positioning. Competitive Advantage
Week 5
Consumer Markets and Buyer Behavior
Week 6
Business Markets and Business Buyer Behavior
Week 7
Product Strategy and New Product Development
Week 8
Marketing services
Week 9
Marketing Channels: Delivering Customer Value
Week 10
Understanding and Capturing Customer Value. Pricing Strategies
Week 11
Integrated marketing communication part I: advertising, sales promotion
Week 12
Integrated marketing communication part II: PR, direct marketing and personal selling.
Week 13
Team presentations
Week 14
Team presentations

https://www.kth.bme.hu/document/3117/original/FESS7_24252_v2.pdf

The student should prove that he/she has acquired the knowledge and fulfilled the general requirements required by the MSc programme. The MSc Thesis project course establishes the frame to the special workflow for structural engineering.The subject of the MSc Thesis project is from within the domain of structural engineering in accordance with the outcome requirements.The aim is that during the semester, students will acquire a complex knowledge of the field of understanding structural behaviour at a level that will allow them to present this competence as an element of their portfolio.

The aim of the thesis is for the student to demonstrate that he or she meets the general requirements for a Master's degree, and the Diploma thesis provides the framework for in-depth work in the field of construction information technology engineering. The thesis topic should be chosen within the framework of the training and output requirements.

The aim of the thesis is for the student to demonstrate that he or she meets the general requirements for a Master's degree, and the Diploma thesis provides the framework for in-depth work in the field of surveying and geoinformatics. The thesis topic should be chosen within the framework of the training and output requirements.

The aim of the Master thesis is for the student to demonstrate that he or she meets the general requirements for a Master's degree, and the Diploma Project subject provides a framework for in-depth work in the field of surveying and geoinformatics.The thesis topic should be chosen within the framework of the training and outcome requirements.

The aim of the diploma work is to show that the student meets the general requirements for a Master's degree in civil engineering. It provides the framework for in-depth work in the chosen specialisation. By completing the course, the supervisor certifies the completion of 80% of the thesis, i.e. the work required to complete the parts of the diploma work undertaken in the assignment:1. literature research has been carried out and documented by the student, 2. activities (e.g. measurements, design, analysis) have been carried out by the student.3. evaluations have been carried out by the student and the results are sufficient to meet the requirements of the assignment.

The student should prove that he/she has acquired the knowledge and fulfilled the general requirements required by the BSc programme. The Master Thesis course establishes the frame to the special workflow for structural engineering.By completing the Master Thesis subject, the supervisor certifies that the thesis is 80% complete, i.e. that the thesis has been completed in accordance with the tasks set out in the thesis notice. 1. The required literature research has been completed and documented by the student.2. The required activities (e.g. measurements, design, analysis) have been carried out by the student.3. The required evaluations have been carried out by the student and the results are sufficient to complete the tasks specified in the call for proposals.

The students should prove that he / she has acquired the knowledge and fulfilled the general requirements required by the MSc programme. The Master Thesis project course establishes the frame to the special workflow for structural engineering, and pay outstanding attention to the field of geotechnics and engineering geologyThe subject of the Master Thesis project is from within the domain of structural engineering in accordance with the outcome requirements.

The aim of the thesis is for the student to demonstrate compliance with the general requirements expected of master’s degree graduates. The course titled “Master Thesis” provides the framework for in-depth work within the field of the chosen specialization. The topic of the thesis must be selected within the framework of the educational and outcome requirements.

The aim of the course is for the student to acquire the techniques used in the engineering practice related to the specialty of the Master's program / specialization within the framework of the Master thesis project, to acquire an independent problem-solving practice. During the Master thesis project, the student demonstrates maturity for solving engineering tasks to a high standard by solving and documenting tasks related to various topics. During the Master thesis project performs independent engineering work under the guidance of the supervisor or sometimes his / her internal / external consultant. Within the framework of the Master thesis project, the student completing the given master's program proves his / her suitability for independent engineering work by elaborating the topic included in the official assignment at a high level on an independent, timely basis. Completion of the "Master Thesis Project A" subject; together with the "Master Thesis Project B" task provides a suitable basis for the preparation of the MSc thesis concluding the master's degree, in which the results are summarized in the prescribed format.

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEENNKDA

The aim of the course is for the student to acquire the techniques used in the engineering practice related to the master's program / specialization within the framework of the thesis project, to acquire an independent problem-solving practice. During the thesis project task, the student demonstrates maturity for solving engineering tasks to a high standard by solving and documenting tasks related to various topics. During the thesis planning, the student performs independent engineering work under the guidance of the supervisor of the department and sometimes under an internal / external consultant. Within the framework of the thesis design, the student completing the given master's program proves his / her suitability for independent engineering work by elaborating the topic included in the official assignment at a high level on an independent, timely basis. Completion of the subject "Master Thesis Project A" together with the "Master Thesis Project B" task provides a suitable basis for the preparation of the MSc thesis project concluding the master's degree, in which the results are summarized in the prescribed format.

https://oktatas.gpk.bme.hu/tad/en/tantargy/BMEGEENNKDB

BME GPK TAD 

Materials science explores the relationship between the processing technology, structure and properties of materials in order to meet the requirements of specific applications. The goal of the course is to offer information about the structure, properties and behavior of the frequently used structural and functional solid materials. The subject demonstrates the importance of the design, production and shaping of materials and products through real-lie examples. The course discusses in detail the structure-property correlations of plastics, metals and ceramics, as well as solid structural and functional materials based on renewable resources. This course highlights also the similarities and important differences between the studied structural materials.
8.1.Introduction.What is material science? The importance of the subject. Introduction of the structural materials, similarities and differences. Some interesting examples of structure property correlations.
8.2.Basic definitions of material science: primary bonds, forces between atoms and molecules. Basic properties of materials and their connection to their atomic structure. Basics of crystallography, the structural hierarchy of materials and its consequences.
8.3.Structure-property correlations in solid materials. Mechanical behavior, wave propagation and thermal properties.
8.4.Structure and mechanical properties of metals and polymers. Deformation mechanisms, plastic deformation of metals and its structural explanation. Dislocations and their consequences. Introduction into the continuum mechanics. Structural hierarchy of polymers. Diversity and fine structure of a polymer chain and its effect on the phase structure of the polymers. Physical states of polymeric materials. Structure and properties of semicrystalline polymers. The structural parameters, which deter-mines the mechanical and optical properties. Modeling of structure in order to predict properties.
8.5.Structure and properties of ceramics and wooden materials. Synthesis, processing and sintering. Parameters, which influences the properties of the ceramics, porosity and density. Chemical bonds in ceramic materials and their mechanical properties. Wood as a natural composite material. Structure and direction dependent properties. General correlation between structural parameter and stiffness of different wood types. Characterization of wooden materials, fracture mechanism.
8.6.Electrical conductivity. Structural explanation of electric conductivity, semiconductors. Electron as quasi element. Effective mass of electrons. Superconductivity.
8.7.The effect of processing on the structure of metals. Moving and interaction of dislocations and its consequences. Cold work of metals and its structural explanation. Crystal defects and their effect on the properties. Processing of ceramics and the effect of processing technique on the final properties.
8.8.Complex effects appear during the processing of polymers. Degradation, orientation, internal stresses. Changes of properties during processing. Effect of processing on the crystalline structure. Targeted modification of crystalline structure in order to achieve improved stiffness of better optical properties. Effect of nucleating agents.
8.9.Properties of heterogeneous systems. Basic factors determining the properties of composites. Precondition of reinforcing effect, particulate or fiber filled systems. Critical fiber length. Metal alloys and composites. Steel as composite material. Ceramic matrix composites, preparation and properties.
8.10.Heterogeneous systems based on polymeric materials. Parameters influencing properties. Mechanism of failure, micromechanical deformations. How to explore the limits of a composite material? How is it possible to improve the performance of a composite? Nano-sized fillers, nanocomposites: expectations, possibilities and limitations. Most important difficulties on the field of nanocomposites.
8.11.Non-conventional materials. Shape memory alloys and polymers. Structural explanation of shape memory. Example on applications using shape memory materials. Piezoelectric and electro strictive materials and their application. Magnetostriction.
8.12.Polymer gels and soft materials. Volume changes, swelling and coagulation of gels and their possible application. Thermoresponsive gels and photoresponsive materials. Unique properties of soft materials, microfluidic valves, reactors.
Laboratory practice
1. Deformation of metals, alloys. Strengthening mechanisms, Effect of cold work on pure metals and alloys. Effect of heat treatment on cold worked metals.
2. Deformation of polymers: Complex processes during plastic deformation of polymeric materials. Tension and fracture tests. Deformation mechanisms in different physical states.
3. Deformation of wooden materials. Mechanical properties of different wood types parallel and perpendicular to the fiber direction. Tension and bending experiments. Effect of water content.
4. Swelling and unique properties of polymer gels.
https://www.ch.bme.hu/oktatas/targyak/BMEVEFAM110/en

The language of first order logic, an outlook to higher order languages. Formalization. Structure, valuation. The sets of true valuations. Logical consequence and comparing with the operation implication. Deduction theorem, and characterizations of logical consequence. Normal forms: conjuctive, prenex, Skolem. Compactness theorem and its applications. – Proof theory. Deductive and refutation calculi. Analitic tableaux and its semantical background. Completeness theorem and its importance. Examples for semantical and proof theoretical approaches of some logical properties. The model method. Theorems of Löwenheim-Skolem types. Model constructions. Standard and non-standard models, on the concepts on non-standard real numbers, integers, infinitesimals. Categoricity, and completeness. – Discrete and density orderings. On the limits of first order logic, incompleteness and undecidableness, the famous results of Gödel and Church.On the connection of propositonal logic and Boolean algebras.
– H., A Mathematical Introduction to Logic, Academic Press, 2001.– Ben-Ari, M., Mathematical Logic for Computer Science, Springer, 2012– Ferenczi, M., Szőts, M., Mathematical Logic for Applications, Typotex, 2016– Ferenczi, M., Pataricza, A., Rónyai, L., Formal Methods in Computing, Kluwer-Akadémia Kiadó, 2005

– Elementary problems in combinatorics: counting and graphs.– Natural language logic. Propositions, negations, reversing, logical operations.– Single quantifier expressions (syllogisms), sets, their Boolean algebra.– Proof methods. Case separation. Conditional statements. Provablity. Proofs by contradiction. Constructive proofs. Existence proofs.– Pigeonhole principle. Invariants and algorithmic proofs. Isomorphism.– Ordering and relations. Equivalence relations.– Well ordering, principle of induction, infinite descent, recursion.– Descartes product of sets. Equivalence of sets, cardinality. Countable and uncountable sets and their existence. Cantor's diagonal method. Russell's paradox and others.
G. Chartrand, A. Polimeni, P. Zhang: Mathematical Proofs - A Transition to Advanced Mathematics. Pearson 2018.

The aim of the course is to introduce to students mathematical methods and concepts that play an important role in some branches of advanced physics (e.g. electrodynamics, quantum mechanics) in more detail than taught in general mathematics. The focus is not on rigorous proofs of theorems, but on their illustration and applications to practical problems.
Topics (physical applications will be presented for the topics that overlap with the subjects specified in the prerequisites): Cylindrical, spherical coordinate systems, derivatives in them, the Laplace and Poisson equation, wave equation. Special functions and orthogonal functions with physical applications: Legendre polynomials, spherical harmonics, Bessel functions, Chebyshev polynomials. Physical applications of linear operators, similarity transformation. Distributions: their concepts, Dirac delta, their operations (derivation, convolution, Fourier and Laplace transforms), their use in solving differential equations, Green's function. Basics of complex analysis and some basicapplications.
– G. A. Korn and T. M. Korn: Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review (Dover Civil and Mechanical Engineering, 2000, Revised Edition, ISBN 978-0486411477)
– D. Babusci, G. Dattoli, S. Licciardi, E. Sabia: Mathematical Methods for Physicists (World Scientific Publishing Co, 2019, ISBN 978-9811201578)

The aim of the course is to introduce to students mathematical methods and concepts that play an important role in some branches of advanced physics (e.g. electrodynamics, quantum mechanics) in more detail than taught in general mathematics. The focus is not on rigorous proofs of theorems, but on their illustration and applications to practical problems.
Topics (physical applications will be presented for the topics that overlap with the subjects specified in the prerequisites): Cylindrical, spherical coordinate systems, derivatives in them, the Laplace and Poisson equation, wave equation. Special functions and orthogonal functions with physical applications: Legendre polynomials, spherical harmonics, Bessel functions, Chebyshev polynomials. Physical applications of linear operators, similarity transformation. Distributions: their concepts, Dirac delta, their operations (derivation, convolution, Fourier and Laplace transforms), their use in solving differential equations, Green's function. Basics of complex analysis and some basicapplications.
– G. A. Korn and T. M. Korn: Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review (Dover Civil and Mechanical Engineering, 2000, Revised Edition, ISBN 978-0486411477)
– D. Babusci, G. Dattoli, S. Licciardi, E. Sabia: Mathematical Methods for Physicists (World Scientific Publishing Co, 2019, ISBN 978-9811201578)

https://portal.vik.bme.hu/kepzes/targyak/VISZMA11/en/

Algebra of vectors in plane and in space. Arithmetic of complex numbers. Infinite sequences. Limit of a function, some important limits. Continuity. Differentiation: rules, derivatives of elementary functions. Mean value theorems, l’Hospital’s rule, Taylor theorem. Curve sketching for a function, local and absolute extrema. Integration: properties of the Riemann integral, Newton-Leibniz theorem, antiderivatives, integration by parts, integration by substitution. Integration in special classes of functions. Improper integrals. Applications of the integral.

https://www.ch.bme.hu/oktatas/targyak/BMETE90AX18/en/

Differential geometry of curves and surfaces. Tangent and normal vector, curvature. Length of curves. Tangent plane, surface measure. Scalar and vector fields. Differentiation of vector fields, divergence and curl. Line and surface integrals. Potential theory. Conservative fields, potential. Independence of line integrals of the path. Theorems of Gauss and Stokes, the Green formulae. Examples and applications. Complex functions. Elementary functions, limit and continuity. Differentiation of complex functions, Cauchy-Riemann equations, harmonic functions. Complex line integrals. The fundamental theorem of function theory. Regular functions, independence of line integrals of the path. Cauchy's formulae, Liouville's theorem. Complex power series. Analytic functions, Taylor expansion. Classification of singularities, meromorphic functions, Laurent series. Residual calculation of selected integrals. Laplace transform. Definition and elementary rules. The Laplace transform of derivatives. Transforms of elementary functions. The inversion formula. Transfer function. Classification of differential equations. Existence and uniqueness of solutions. The homogeneous linear equation of first order. Problems leading to ordinary differential equations. Electrical networks, reduction of higher order equations and systems to first order systems.The linear equation of second order. Harmonic oscillators. Damped and forced oscillations. Variation of constants, the in-homogeneous equation. General solution via convolution, the method of Laplace transform. Nonlinear differential equations. Autonomous equations, separation of variables. Nonlinear vibrations, solution by expansion. Numerical solution. Linear differential equations. Solving linear systems with constant coefficients in the case of different eigenvalues. The inhomogeneous problem, Laplace transform. Stability.

This course covers the elements of single variable calculus and linear algebra. Special emphasis is put on the concepts of linear algebra which are later used by architects in structural design. These are the systems of linear equations, matrices and determinants with their properties. From the elements of calculus, the limit of sequences, the differentiation, the integration and applications belong to the course material.

Algebra of vectors in plane and in space. Arithmetic of complex numbers. Infinite sequences. Limit of a function, some important limits. Continuity. Differentiation: rules, derivatives of elementary functions. Mean value theorems, l’Hospital’s rule, Taylor theorem. Curve sketching for a function, local and absolute extrema. Integration: properties of the Riemann integral, Newton-Leibniz theorem, antiderivatives, integration by parts, integration by substitution. Integration in special classes of functions. Improper integrals. Applications of the integral.

Algebra of vectors in plane and in space. Arithmetic of complex numbers. Infinite sequences. Limit of a function, some important limits. Continuity. Differentiation: rules, derivatives of elementary functions. Mean value theorems, l’Hospital’s rule, Taylor theorem. Curve sketching for a function, local and absolute extrema. Integration: properties of the Riemann integral, Newton-Leibniz theorem, antiderivatives, integration by parts, integration by substitution. Integration in special classes of functions. Improper integrals. Applications of the integral.

Classification of differential equations.Separable ordinary differential equations, linear equations with constant and variable coefficients, systems of linear differential equations with constant coefficients. Some applications of ODEs.Scalar and vector fields.Line and surface integrals. Divergence and curl, theorems of Gauss and Stokes, Green formulae. Conservative vector fields, potentials. Some applications of vector analysis.Software applicationsfor solving some elementary problems.

Voltage and current sources, voltage and current meters. Measurement of resistance, four probe resistance measurement. Operational amplifiers. Voltage amplifier, current amplifier, and comparator circuits. A/D and D/A converters, data acquisition cards. Normal and common mode rejection ratio. Analog and digital oscilloscopes, sampling modes, triggering, waveform measurements, aliasing. Function generators.
Suppression of disturbing signals: electrostatic and inductive coupling, grounding and guarding, twisted pairs, thermoelectric power and offset compensation, stray capacitance. Wave propagation in coaxial lines, telegraph equations, wave impedance, reflections at the cable termination.
Fourier analysis considering finite temporal window. The role of various window functions: spectral leakage, frequency resolution, amplitude accuracy. The role of finite sampling, sampling theorem. Discrete Fourier transform, and its implementation by the fast Fourier transform algorithm. Spectrum analyzers. Phase sensitive measurements: lock-in amplifiers, phase locked loops.
The application of PID control from temperature controllers to scanning probe microscopes.
Electronic noise phenomena. The spectral density of noise, and its relation to the current-current correlation function and the Fourier transform of the signal. Thermal noise, the thermal noise limit of current amplifier circuits. Cross correlation noise measurement. Shot noise and 1/f noise. Antialiasing filter.
Fundamental measurement units (SI) and their definitions. Measurement standards: atomic clocks, voltage to frequency conversion by the Josephson effect, current to voltage conversion by the quantized Hall effect, current to frequency conversion by electron pump, measurement of mass by Watt balance. Temperature standards.
Modern sensors. Magnetic field sensors: inductive, magnetoresitive, spin valve, and Hall sensors, SQUID magnetometers. Distance and position sensors: linear differential transformers, capacitive transducers, LASER and ultrasound-based measurement of distance, LIDAR systems. Temperature sensors: thermocouples, resistance thermometers, thermistors. Light sensors: photo diodes, CCD sensors, CMOS active pixel sensors, bolometers. Measurement of acceleration: MEMS accelerometers and gyroscopes, piezoelectric accelerometers.
Fundamentals of nuclear measurement technologies. Interactions between electromagnetic radiation, charged particles and atoms of matter that provide the basis for detection. Detector efficiency, energy resolution, dead time, escape and pile-up phenomenon, response function. Basic instruments of electronic signal processing and their characteristic technical properties, analogue-digital conversion.
– James A. Blackburn: Modern Instrumentation for Scientists and Engineers, Springer-Verlag New York, Inc. 2001, ISBN: 978-0-387-95056-3, DOI: https://doi.org/10.1007/978-1-4613-0103-5
– Sh. Kogan: Electronic Noise and Fluctuations in Solids, Cambridge University Press (1996), ISBN: 9780511551666, DOI: https://doi.org/10.1017/CBO9780511551666
– G. F. Knoll, Radiation detection and measurement, 4th Edition, Wiley, 2010, ISBN: 978-0-470-13148-0
– Low Level Measurements Handbook - 7th Edition Precision DC Current, Voltage, and Resistance Measurements
– C. Rauscher, Fundamentals of Spectrum Analysis, Rohde&Schwarz GmbH&Co. KG, 2001 Mühldorfstrasse 15 81671 München Germany, ISBN 978-3-939837-01-5